Question

Determine whether the functions are inversef(x) = 2(×-4)

Answer 1

To determine the inverse function :

`f(x)=\text{ 2(x-4)}`
`\begin{gathered} f(x)=\text{ y} \\ y=2x-8 \\ y+8=2x \\ 2x=y+8 \end{gathered}`

The inverse function is calculated by replacing the x with y variable

`\begin{gathered} (2x)/(2)=(y)/(2)+(8)/(2) \\ x=(y+8)/(2) \\ f^(-1)(x)=(x+8)/(2) \end{gathered}`

Therefore the inverse function :

`f^(-1)(x)=(x+8)/(2)`