CPM Homework Help : A2C Problem 10-16

Verify algebraically that $g ( x ) = \frac { 5 x - 2 } { 3 }$ is the inverse function of $f ( x ) = \frac { 3 x + 2 } { 5 }$ .

Hint:

Substitute $g\left(x\right)$ for $x$ in $f\left(x\right)$ , then simplify. The result should be $x$ .

More Help:

$\textit{f}(\textit{g}(\textit{x}))=\frac{3\left(\frac{5\textit{x}-2}{3}\right)+2}{5}$