Question
Verify that $f$ and $g$ are inverse functions.$$f(x)=-\frac{7}{2} x-3, \quad g(x)=-\frac{2 x+6}{7}$$
Step 1
This means we substitute $g(x)$ into $f(x)$. So, we have: $$ f(g(x)) = f\left(-\frac{2x+6}{7}\right) = -\frac{7}{2}\left(-\frac{2x+6}{7}\right) - 3 $$ Show more…
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