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PtichkaEL [24]
2 years ago
6

Whats the inverse and domain of the inverse

Mathematics
1 answer:
kodGreya [7K]2 years ago
7 0
Graphs of inverse functions have a domain and range jus like any other graph of a function. The domain of a inverse function in the range of the original, and the range of an inverse function is the domain of an original
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Which Of the following pairs of functions are inverse of each other?
damaskus [11]

One way is to solve for the inverse of the first function

remember, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f^{-1} (x)

A.

f(x)=x/2+8\\y=x/2+8\\x=y/2+8\\x-8=y/2

2x-16=y

f^{-1}=2x-16

nope, not A

<h3>What is the inverse function?</h3>

The inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by {\displaystyle f^{-1}.}

B.

f(x)=3x^3+16\\y=3x^3+16x=3y^3+16\\x-16=3y^3\\(x-16)/3=y^3

f^{-1}(x)=\sqrt[3]{((x-16)/3)}

nope, not the same

not B

C.

f(x)=18/x-9\\y=18/x-9\\x=18/y-9\\x+9=18/y\\y(x+9)=18\\y=18/(x+9)\\f^{-1}(x)=18/(x+9)

The correct, answer is C.

To learn more about the inverse function visit:

brainly.com/question/2972832

#SPJ1

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Answer:

Step-by-step explanation:

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