Question

Can i just get the answer to this? I don’t need the explanation.

Answer 1

Given:

`f(x)=4x`

Required:

We need to find the inverse of the given function.

Step-by-step explanation:

`\text{ Let f\lparen x\rparen=y and }x=f^(-1)(y)\text{ substitute in the given function.}`
`y=4f^(-1)(y).`

Divide both sides of the equation by 4.

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

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

Replace x =y.

`f^(-1)(x)=(x)/(4)`
`Let\text{ h\lparen x\rparen =}f^(-1)(x).`
`h(x)=(x)/(4)`

Final answer:

`h(x)=(1)/(4)x`