1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Cloud [144]
2 years ago
9

1. determine if the functions are inverse functions

Mathematics
1 answer:
kirill115 [55]2 years ago
5 0

Answer:

<u>Question 1</u>

The function f(x) = x + 6 is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so f^{-1}(x)=x-6

Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function f(x) = -3x -9 is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

\implies y = -3x -9

Rearrange the equation to make x the subject:

\implies y+9= -3x

\implies x=-\dfrac13(y+9)

\implies x=-\dfrac13y-3

Replace x with f^{-1}(x) and y with x:

\implies f^{-1}(x)=-\dfrac13x-3

Therefore, g(x) is the inverse of f(x).

You might be interested in
If the outside temperature was 72 yesterday and today is 16 degrees cooler what is today's temperature
Natalija [7]

Answer:

56 degrees Fahrenheit

5 0
2 years ago
Read 2 more answers
Maria pays 42.25 for dinner if she leaves a 20% tip how much will she spend on dinner and the tip
adell [148]

Answer:

$50.70

Step-by-step explanation:

4 0
3 years ago
Help me please and thank you
ollegr [7]
C) 51 is the answer
3 0
3 years ago
PLEASE HELP<br><br><br><br>this is a formula for a sequence, f(x) = 8 - 11x, what is f(8)?​
Elenna [48]

Answer:

-80

Step-by-step explanation:

plug in 8 to the equation

8 - 11 (8)

multiply 8 and 11 first: 8 - 88

add 8 to -88: -80

7 0
2 years ago
Name a real world object that has a top view of a triangle, and a side and front view that are each rectangles?
Anarel [89]
It could be a building with a triangular top. If the building had a triangular top, then it must have 3 rectangles as its sides. So your answer would be, a building with a triangular top.
5 0
2 years ago
Other questions:
  • You are putting 30 different bolts into bins according to the size of the bolt. So far you have successfully put 10 bottles into
    7·1 answer
  • How can you find a unit rate when given a rate?
    15·2 answers
  • You have 24 blue socks and 24 black socks unordered in a bag. how many socks do you need to pull out before you have a matching
    15·1 answer
  • Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 25x and y = x2 25 . Find V by slic
    13·1 answer
  • The US Department of Transportation announces that of the 250 million registered passenger vehicles in the US, 2.1% are electro-
    11·1 answer
  • 100pts: Find F(5) if F is a recursive function as defined below:
    5·2 answers
  • If the interest on $2000 for 2 years is $320, then what is the interest rate?
    13·1 answer
  • Which table shows a proportional relationship between x and y?
    5·2 answers
  • Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the
    6·2 answers
  • Can someone help with these!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!