Question

For the following exercises, use function composition to verify that $f(x)$ and $g(x)$ are inverse functions. $$ f(x)=-3 x+5 \text { and } g(x)=\frac{x-5}{-3} $$

          For the following exercises, use function composition to verify that $f(x)$ and $g(x)$ are inverse functions. 
$$
f(x)=-3 x+5 \text { and } g(x)=\frac{x-5}{-3}
$$

Added by Jose Ignacio T.

Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition

N/A 6th Edition

Instant Answer

Solved by Expert Brittany Stefanilo

03/17/2022

Step 1

Step 1:** Calculate $f(g(x))$: $$f(g(x)) = f\left(\frac{x-5}{-3}\right) = -3\left(\frac{x-5}{-3}\right) + 5 = x - 5 + 5 = x$$ ** Show more…

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For the following exercises, use function composition to verify that $f(x)$ and $g(x)$ are inverse functions. $$ f(x)=-3 x+5 \text { and } g(x)=\frac{x-5}{-3} $$