Given: f(x) = 1/x+5 and g(x) = x - 2.
What are the restrictiorts of the domain of f(g(x))?
0 x4 -5
O X-3
OX= 2
There are no restrictions.

Answers

Answer 1

Answer:

The restriction of the domain of f(g(x)) is that x cannot be 3.

Step-by-step explanation:

The first step to solve this question is finding the function, replacing the values. So

[tex]f(x) = \frac{1}{x+5}[/tex]

[tex]g(x) = x - 2[/tex]

[tex]f(g(x)) = f(x - 2) = \frac{1}{x - 2 + 5} = \frac{1}{x - 3}[/tex]

The function is a fraction, which means that the restriction is that the denominator cannot be zero. So

[tex]x - 3 \neq 0[/tex]

[tex]x \neq 3[/tex]

The restriction of the domain of f(g(x)) is that x cannot be 3.


Related Questions

we have 2 fractions 5/8 and 5/4

Answers

Is there more context or information?

How much interest is earned on a principal amount of $400 invested at an interest rate of 5% for 3 years

Answers

Answer:$63.05

Step-by-step explanation:400*1.05*1.05*1.05=463.05

463.05-400=63.05

398 divided by 344?
Please help me.

Answers

Answer:

1.15697674419

Step-by-step explanation:

Answer:

1.15697674419 is the answer

Eric and Shiloh each have a savings account. The ratio of Eric's account balance to Shiloh's account balance is 4:3. Together they have a total of $140 in their accounts. In the tape diagram below, how much money does each bar represent? [Type your answer as a number.]​

Answers

Answer:

20

Step-by-step explanation:

E:S

4:3

4u+3u=140

7u=140

u=20

What is the area of a rectangular cake with a length of 10 inches and width of 6 inches?

Answers

Answer:the area of the cake is 60 inches

Step-by-step explanation: length times width. hope this helps.

Help I’m being timed!!!

Answers

Answer:

50.24 square inches

Step-by-step explanation:

A circles area is:

[tex]\pi r^{2}[/tex]

Insert the values:

(3.14)(4^2)

3.14(16)

50.24 square inches

What is the value of x?

−3/4(12−8x)=5x+15−7x

Answers

Answer:

x = 3

Step-by-step explanation:

step 1: distribute -3/4 among 12 and 8x to get:  -36/4 + 6x

step 2: combine 'like terms' on right side to get -2x + 15

-9 + 6x = -2x + 15

-9 + 8x = 15

8x = 24

x = 3

95 to 155 as a percentage

Answers

Answer:

61.290322580645% or 61%

Step-by-step explanation:

I put your question into a percentage calculator and got this for the answer. Wish you luck.

Answer:

Convert the decimal to a percentage by multiplying the decimal by 100

9515500%

Step-by-step explanation:

don't know if this the answer your looking for.

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas is 4:5. What is the ratio of the nunber of flour tortills to the total number of tortillas?

Answers

Answer:

Pretty sure 5:9.  

Step-by-step explanation:

The total tortillas are 9. The total number of flour tortillas is 5. You get 5:9.

Hope I helped! :) Sorry if it's wrong :( Have an amazing day!!

Answer:

Step-by-step explanation:

I don't think you've provided the correct information. When you write the ratio of corn tortillas is 4:5, it doesn't make sense. It should be a ratio of one thing to another. Is it a ratio of corn tortillas to flour tortillas?

Pythagorean theorem question:)

Answers

11^2 + 9^2 = x^2
121 + 81 = x^2
202 = x^2
14.21 = x

The answer is 14.21

Answer:

14.21

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Afla 3 numere naturale știind ca produsul primelor doua este 54, produsul ultimelor doua este 12,iar suma dintre primul și al treilea este 11

Answers

Answer:

Cele 3 numere naturale sunt:

Primul număr = a = 9

Al doilea număr = b = 6

Al treilea număr = c = 2

Step-by-step explanation:

Fie cele 3 numere naturale reprezentate ca:

Primul număr = a

Al doilea număr = b

Al treilea număr = c

Produsul primelor două este de 54

a × b = 54

ab = 54 ...... Ecuația 1

a = 54 / b

Produsul ultimelor două este 12

b × c = 12

bc = 12 ........ Ecuația 2

c = 12 / b

Suma primului și celui de-al treilea este 11

a + c = 11 ...... Ecuația 3

Înlocuim

54 / b pentru a și 12 / b pentru c

54 / b + 12 / b = 11

54 + 12 / b = 11

Cross Multiply

66 / b = 11

11b = 66

b = 66/11

b = 6

Rezolvarea pentru un

a = 54 / b

a = 54/6

a = 9

c = 12 / b

c = 12/6

c = 2

Prin urmare, cele 3 numere naturale sunt:

Primul număr = a = 9

Al doilea număr = b = 6

Al treilea număr = c = 2

Add the two expressions.

−4.2x+3 and 2.5x−6

Answers

-4.2x+3+2.5x-6
Combine like terms
Simplified:
-1.7x-3 is your answer

answer number 11 pls

Answers

Answer:

121.52 feet

Step-by-step explanation:

9.8+2.6 = 12.4

12.4 * 9.8 = 121.52

The movie starts at 3:15 p.m. and ends at 5:08 p.m. How long is the movie?

Answers

Answer:

1 hour and 53 minutes

Step-by-step explanation:

Your welcome

simplify the expression 12( a+ 5)

Answers

Answer:

12a+60 i think lol

Step-by-step explanation:

this is how i did it though:

12(a+b)

12a+60

I think it would be 12(a+60) because 60÷12 is five

Complete each congruence statement by naming the corresponding angle or side (odd questions only)

Answers

Given:

1. [tex]\Delta HJI\cong \Delta IQP[/tex]

3. [tex]\Delta JLK\cong \Delta FGH[/tex]

To find:

The missing values to complete the congruence statements:

1. [tex]\overline{IH}\cong \_\_\_\_[/tex]

3. [tex]\angle KJL\cong \_\_\_\_\_[/tex]

Solution:

1.

We have,

[tex]\Delta HJI\cong \Delta IQP[/tex]

Here, vertices H, J, I are corresponding to I, Q, P. So,

[tex]\overline{IH}\cong \overline{PI}[/tex]

Therefore, the complete statement is [tex]\overline{IH}\cong \overline{PI}[/tex].

3.

We have,

[tex]\Delta JLK\cong \Delta FGH[/tex]

Here, vertices J, L, K are corresponding to F, G, H. So,

[tex]\angle KJL\cong \angle HFG[/tex]

Therefore, the complete statement is [tex]\angle KJL\cong \angle HFG[/tex].

Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve dollars less than double that amount. How much does Vanessa spend on rent?


2R - $12 = $87


2R = $87 + $12


2 * $87 - $12 = R


2($87) - 2($12) = R

Answers

Answer:

The first answer is correct.

Step-by-step explanation:

Where R represents the amount of rent Vanessa pays, 2r is double that amount, and 2r - 12 would be twelve dollars less than double.

please can some one solve this for me thankyou :-)

its sudoku

Answers

 

In the .docx file is a SUDOKU that needs to be resolved.

See the solution in the attached image.

   

Any help will be really appreciated

Answers

Answer: B

Step-by-step explanation:

The answer is B

5x2=10. 10+1=11
7x2=14. 14+1=15
9x2=18. 18+1=19

Put these substances in order of density with the most dense first and the least dense last.

Answers

Answer:

iron

rubber

cotton ball

helium

Help please! Could you put an explanation as well?

Answers

Answer:

y=-(4x/3) -1

Step-by-step explanation:

Slope=m= -4/3

y intercept = c = -1

now using equation;

y= mx+c

y= (-4/3)x+(-1)

y=-(4x/3) -1

49 = -5n – 2n
I think I know the answer but just wanna be sure?

Answers

Answer:

n = -7

Step-by-step explanation:

49 = -5n - 2n

combine like terms

-5 - 2 = -7

49 = -7n

divide both sides by -7

49/-7 = -7n/-7

49/-7 = n

49/-7 = -7

-7 = n

what are terms
answer choices...

1. the number in front of the variable
2. a letter that represents a number
3. the individual parts of an expression
4. the number that stands Alone with no variable...

please answer ​

Answers

Answer:

3. the individual parts of an expression.

Step-by-step explanation:

an example would be 5x + 2y - 6

5x, 2y, and 6 are all terms that are separated by symbols like +,-,× etc.

Mike had $800. He now has $500. What is the percent decrease?​

Answers

300$ is the answer !
$200 is the answer for your question

I need this ASAP

A= Y=6+x


B =y=6-x


C= y=x-6


D= y=6x

Answers

Answer:

A

Step-by-step explanation:

i thank

Justin has 58 stickers. If he gives 8 stickers to each of his 7 friends, how many stickers will Justin have left?

Answers

Answer:

2 stickers

Step-by-step explanation:

We multiply his 7 friends by 8 (stickers given to each friend) to get 56 stickers given total.

We subtract 56 from 58 to get 2 stickers remaining for Justin.

Step-by-step explanation:

Justin is giving out 8 stickers to 7 of his friends

To find out how many stickers he passed out, you would need to do 7×8

7×8 = 56

Now you want to subtract 56 from 58 to figure out how many stickers he had left

58 - 56 = 2

Justin is left with 2 stickers

I am sorry if this didn't make sense

I hope this helps!!!!

A gardening club has 21 members, of which 13 are males and the rest are females. What is the ratio of females to all
Club members.

Answers

Answer:

There are 8 Females out of the 21

Write two different congruent statements that indicate the triangles in each pair are congruent (ODD NUMBERS ONLY) the odd number question

Answers

Answer:

Step-by-step explanation:

9) RS ≅ HG    ; RT ≅ HF  ; ST ≅  GF

ΔRST ≅ ΔHGF      Side side Side congruent

RS  ≅ HG ; ∠R ≅ ∠H   ; RT ≅ HF

ΔRST ≅ΔHGF                    Side Angle Side congruent

11) QP ≅ QK   ; ∠K ≅ ∠ P   ; KR ≅ PR

ΔQPR ≅ ΔQKR              Side Angle Side congruent

QP ≅ QK ; PR ≅ KR  ; QR ≅ QR

ΔQPR ≅ ΔQKR           Side Side Side congruent

PLZ HELP ME ON THIS ONLY PROBLEM???

Answers

Exact Form:
9
-
16

Decimal Form:
0.5625
That should be it ! :)
O.5625 I think hopefully that helps

Solve

1+−=0
2 − ^2 = 4

Answers

Answer:

Both are inaccurate things.

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