What is (f*g)(x) f(x) = - x ^ 2 g(x) = x + 1
Answer:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
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Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Step-by-step explanation:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Need a personal math teacher?
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and $7,100 is collected. How many adults and how many children were at the fair?
Answer:
C = 580 children.
A = 420 adult.
Step-by-step explanation:
Let the number of children be C.
Let the number of adult be A.
Translating the word problem into an algebraic equation, we have;
A + C = 1000 .......equation 1
10A + 5C = 7100 .......equation 2
A = 1000 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
10(1000 - C) + 5C = 7100
10000 - 10C + 5C = 7100
10000 - 7100 = 10C - 5C
2900 = 5C
C = 2900/5
C = 580 children.
Now, to find the value of A.
From equation 3;
A = 1000 - C
A = 1000 - 580
A = 420 adult.
Which of the following represents the equation below in intercept form?
f (x) = 2x² + 6x - 80
A) f (x) = (x-5) (x+8)
B) f (x) = 2 (x-5) (x+8)
C) f (x) =2 (x+5) (x-8)
D) f (x) = 2 (x-4) (x+10)
Step-by-step explanation: Please tell me if this is wrong! Bye! Have a good day!
Answer:
...............
Step-by-step explanation:
Georgia is able to save $58 a week
from her earnings for babysitting her
neighbor's daughter. How much money
is Georgia able to save in 3 months?
Answer:
She will get $696 from babysitting in 3 months.
Step-by-step explanation:
58x4 = 232. 232x3= $696.
Answer:
696
Step-by-step explanation:
what is f+41=−27 thanks
Answer:
f is sixty eight thank you
Write the equation of a line that is parallel to y= -7x+5 and passes through the point (0,6)
Answer:
The answer is y = - 7x + 6
Step-by-step explanation:
A parallel line will have the same slope and since the point that is given is a y intercept, you just plug in -7x + 6 to get your parallel equation
How do you add 2 pictures for a question?
Someone help please
Answer:
u can't add 2 pictures...so....
Answer:
Attached the picture through your computer,laptop or phone and answer the question with a refernce to the attached pictures for the other party.
Snothing tep-by-step explanation:
While on your computer, click on attach document
the box will pop up
selctect where the picture is save at either on desktop, of other document or PC.
Double click and it will upload on your message screen.
then write your messages with reference to the attachment and click send.
all done.
Tom works at the coffee shop where he makes $15 per hour. He also works part time at the library where he makes $12 per hour. Last week Tom worked 17 total hours and made $222. How many hours did he work at the coffee shop and library?
Answer:
6
Step-by-step explanation:
Is 40 divided by the square root of 4 a rational number?
Answer:
No
Step-by-step explanation:
Hope this helps and have a great day.
PLZ HELP ME WITH THIS?!?
Answer:
Hi, person.
Step-by-step explanation:
Step-by-step explanation:
first criss cross
then minus by 1 over 4
OR
find lcm of 3 6 4 and after you get it write the number out side let # be the lcm and let me show you #(2,5)&#(_1) and solve it
Did I label this triangle correctly?
Answer:
Yes
Step-by-step explanation:
you labelled it correctly. angle a is across from side a, and vice versa. nice job!! :)
Answer: Yes
Step-by-step explanation:
The angle A should be across from side a. Angle B should be across from side b. And same for C. Good job.
car travels along the highway to Yuma at a steady speed when it begins it is 400 miles from Yuma after 7 hours it is 50 miles from Yuma which function describes the cars distance from Yuma
Answer:
b) y = 50x + 400
Please give brainliest! trying to get my rank up!
Step-by-step explanation:
Answer:
B. Y=50x+400
Step-by-step explanation:
Write an equation of the line that passes through the given point and is parallel to the given line.
(4,7),y=5x-3
Place the indicated product in the proper location on the grid. (x + 1)(x - 1)
which one?
a)
b)
c)
d)
Answer:
d
Step-by-step explanation:
i don’t understand.
online school is hard
Answer: it is hard :((
Step-by-step explanation:
What’s the value of x
Answer:
C: X = 42
Step-by-step explanation:
Find each part to the triangle first
7a - 4a for a = 8 Anyone know the answer?
Answer:
the answer is 24
Step-by-step explanation:
hoped I helped:)
The value of the expression for x=8 is 24
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions
Given here: The expression as 7a-4a
Now combining the like terms we get
7a-4a=3a
for a=8
we have
3a=3×8
=24
Hence, The value of the expression for x=8 is 24
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NO ONE IS HELPING ME :((((((((
The height, h, of a stomp rocket (propelled by a short blast of air) above the ground after t seconds is given by the equation h(t)=5+100t−16t2. Here is a graph that represents h.
1. What does the 5 in the equation represent?
2. What does 100t in the equation mean in terms of the rocket?
3. Approximately when does the rocket hit the ground?
4. What domain makes sense for the function in this context?
Answer:
Given equation and the graph of it:
h(t) = 5 + 100t − 16t²1. What does the 5 in the equation represent?
5 represent a height of the release of the rocket2. What does 100t in the equation mean in terms of the rocket?
100t is determining the maximum height that the rocket can reach3. Approximately when does the rocket hit the ground?
As per the graph it is after 6.3 seconds it was launched4. What domain makes sense for the function in this context?
Domain of the function is:
0 ≤ t ≤ 6.3This is the time the rocket is in the air until it hits the ground
Answer: it will hit the ground around 6.2 seconds
The domain is 0 ≤ t ≤ 6.3
Given triangle STU is congruent to triangle KLM complete each of the following statements
3x - 2y = 7.
Y = 3x / 2 - ?/?
01:44:56
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Answer: the equation would be 5n=1,500
Step-by-step explanation:
5 dollars per N (student) they need to make 1,500 so you need to find n
( to find N do 1,500 divided by 5 = 300
Which of the following represents the independent variable of the function?
y=1/2x-2
A. 1/2
B. x
C. y
D. -2
Answer:
X is the independent variable
Step-by-step explanation:
I just know
X is the independent variable that represents the independent variable of the function.
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
We are given an expression as y=1/2x-2
Here we can see the variables x and y .
the y intercept is -2.
The slope of the equation is 1/2.
Therefore, we can conclude that the X is the independent variable.
Learn more about independent variable;
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Divide.
511÷411
Enter the correct answer in the box.
Answer:
1.24
Step-by-step explanation:
Answer:
1.24330900243
Step-by-step explanation:
I did the whole equation on paper
help me with the chart only!! I can do the graph myself!
you answers for the chart will be 5,7,and 9 respectively
mark brainliest and thank
Answer:
five seven and nine
Step-by-step explanation:
i hope it's right
c) passing through the points (4, -5) and (-2, 9).
Answer:
Step-by-step explanation:
you can use slope intercept form y=mx+b
Please please help!!
(Wasn't sure what subject it fit in, so its in math I guess)
Answer:
The answer is A
Step-by-step explanation:
Hope I helped!!
What is the slope of the line that passes through the points (5, -4)(5,−4) and (7, -4) ?(7,−4)? Write your answer in simplest form.
Answer:
the slope is 0, m=0
Step-by-step explanation:
do the equation y2 - y1 over x2 - x1
Equation of a line is the y = 3x - 1 is with a slope of 3 and a passing point of (2, 5).
What is meant by slope?An angled surface, especially a hill or mountain, or the angle at which something rises: On flat terrain, students develop their directional skiing skills.A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes.The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis rise compares to its x-axis run.Here, slope of line equals 3.
Passing the buck (2, 5)
line equation
(y - y₁) = m (x - x₁)
y - 5 = 3 (x - 2) (x - 2)
y - 5 = 3x - 6
y = 3x - 6 + 5
y = 3x - 1
So, the equation of the line traversing the points (2, 5) and having a slope of 3 is y = 3x - 1.
The complete question is : A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point-slope form.
To learn more about slope refer to:
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A school carnival sold 8 early-admission tickets and 17 regular tickets. What percentage of
the tickets sold were early-admission tickets?
Answer:
47%
Step-by-step explanation:
early / total
8 / 17
= .470588235
.4705 times 100 = 47.05% rounds to 47%
Solve this system of equations
3x+4y=36
y= -1/2x+8
x=
y=
Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36
3x + 4(-1/2x + 8) = 36
3x - 2x + 32 = 36
x + 32 = 36
x + 32 - 32 = 36 - 32
x = 4
y = -1/2x + 8
y = -1/2(4) + 8
y = -2 + 8
y = 6