Select the correct answer. Find the inverse of function f. f(x)=9x+7

Brian Roisentul asked Feb 9, 2022

26,600 views

23 votes

Brian Roisentul asked Feb 9, 2022

2.3k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

16 votes

If
f^(-1)(x) is the inverse of
f(x) , then by definition

$f\left(f^(-1)(x)\right) = x$

Given that
f(x)=9x+7 , we have

$f\left(f^(-1)(x)\right) = 9f^(-1)(x)+7 = x$

Solve for
f^(-1)(x) :

$9f^(-1)(x) + 7 = x \\\\ 9f^(-1)(x) = x - 7 \\\\ f^(-1)(x) = \frac{x-7}9$

Badsha answered Feb 16, 2022

2.9k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers