Question
In each case find $f(g(x))$ and $g(f(x))$. Then determine whether $g$ and $f$ are inverse functions.$$f(x)=\frac{1}{x}+3, g(x)=\frac{1}{x-3}$$
Step 1
To do this, we substitute $g(x)$ into $f(x)$. So, $f(g(x)) = f\left(\frac{1}{x-3}\right)$. Show more…
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