Question

Which represents the inverse of the function f(x) =4x?

Answer 1

Let's see

Let y=f(x)

• y=4x

Intechange x and y

• x=4y

Find y

• y=x/4

The inverse is y=x/4

Graphs attached

Answer 2

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

Explanation:

The inverse of a function is the reflection of the function in the line y = x

To find the inverse of a function:

Set the function to y:

⇒ y = 4x

Make x the subject:

`\sf \implies x=(y)/(4)`

Change x to
`\sf f^(-1)(x)` and y to x:

`\sf \implies f^(-1)(x)=(x)/(4)`