g(r) = { x-3 2 Please do the following: (a) Find the inverse, and write it using proper inverse notation.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.1: Finding Composite And Inverse Functions
Problem 57E: In the following exercises, find the inverse of each function. 57. f(x)=x33
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x-3
2
Please do the following:
g(x) = √
(a) Find the inverse, and write it using proper inverse notation.
Transcribed Image Text:x-3 2 Please do the following: g(x) = √ (a) Find the inverse, and write it using proper inverse notation.
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(b) Verify that you have found the correct inverse by the following method:
Calculate g(67) (so plug in 67 for x in the original function g(x))
(i)
(ii)
Take your answer in (i) and plug it back into the inverse function you found,
and calculate your answer. If your inverse function is correct, you should
get 67 as your answer (which is the input you started with).
Transcribed Image Text:(b) Verify that you have found the correct inverse by the following method: Calculate g(67) (so plug in 67 for x in the original function g(x)) (i) (ii) Take your answer in (i) and plug it back into the inverse function you found, and calculate your answer. If your inverse function is correct, you should get 67 as your answer (which is the input you started with).
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