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

Brian Roisentul asked Feb 9, 2022

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Brian Roisentul asked Feb 9, 2022

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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

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