Question

Which represents the inverse of the function f(x) = 4x?Oh(x) = x + 4O h(x) = x - 4Oh(x) =O h(x) = x

Answer 1

Let y=f(x). To find the inverse of f, isolate x:

`\begin{gathered} f(x)=4x \\ \Rightarrow y=4x \\ \Rightarrow x=(1)/(4)y \end{gathered}`

Let x=f^{-1](y). Then:

`f^(-1)(y)=(1)/(4)y`

Evaluate the inverse of f at y=x:

`f^(-1)(x)=(1)/(4)x`

Therefore, the rule of correspondence of the inverse of f is given by the expression:

`(1)/(4)x`