Question

Match each function with the expression representing its inverse function. 1.y = x - 4 2.g(x) = -0.5x 3.k(x) = x 4.p(x) = x + 4 5.h(x) = 4x 6. f(x) = x/2 x+4 x 0.25x -2x x - 4 2x

Answer 1

We have the following functions and their inverse function:

$\begin{gathered} y=x-4\Rightarrow y^{-1}=x+4 \\ g(x)=-0.5x\Rightarrow g^{-1}(x)=-2x \\ k(x)=x\Rightarrow k^{-1}(x)=x \\ p(x)=x+4\Rightarrow p^{-1}(x)=x-4 \\ h(x)=4x\Rightarrow h^{-1}(x)=\frac{x}{4} \\ f(x)=\frac{x}{2}\Rightarrow f^{-1}(x)=2x \end{gathered}$