Question

In Exercises $27-32,$ confirm that $f$ and $g$ are inverses by showing that $f(g(x))=x$ and $g(f(x))=x .$ $$f(x)=3 x-2 \text { and } g(x)=\frac{x+2}{3}$$

Name: in exercises 27 32 confirm that f and g are inverses by showing that fgxx and gfxx fx3 x 2 text and gxfracx23 2
Uploaded: 2021-09-01T02:00:14-08:00
Duration: 1 min 24 s
Channel: Ma. Theresa Alin
Description: in exercises 27 32 confirm that f and g are inverses by showing that fgxx and gfxx fx3 x 2 text and gxfracx23 2

          In Exercises $27-32,$ confirm that $f$ and $g$ are inverses by showing that $f(g(x))=x$ and $g(f(x))=x .$
$$f(x)=3 x-2 \text { and } g(x)=\frac{x+2}{3}$$

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Precalculus: Graphical, Numerical, Algebraic

Franklin D. Demana,Bert K. Waits,Gregory… 8th Edition

Chapter 1

Instant Answer

Solved by Expert Ma. Theresa Alin

09/01/2021

Step 1

Step 1:** Calculate $f(g(x))$: $$f(g(x)) = f\left(\frac{x+2}{3}\right) = 3\left(\frac{x+2}{3}\right) - 2 = x + 2 - 2 = x$$ ** Show more…

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In Exercises $27-32,$ confirm that $f$ and $g$ are inverses by showing that $f(g(x))=x$ and $g(f(x))=x .$ $$f(x)=3 x-2 \text { and } g(x)=\frac{x+2}{3}$$