Question

If ƒ(x) = 2x, then ƒ -1(x) =

Answer 1

Answer:

$f^{-1}$(x) = $\frac{x}{2}$

Step-by-step explanation:

let y = 2x

Rearrange making x the subject

divide both sides by 2

$\frac{y}{2}$ = x

changing y back into terms of x

$f^{-1}$(x) = $\frac{x}{2}$

Answer 2

Answer:

f^-1(x) = x/2

Step-by-step explanation:

To find the inverse of a function, we exchange x and y and then solve for y

y =2x

Exchange x and y

x = 2y

and then solve for y

Divide by 2

x/2 =y

The inverse function

f^-1(x) = x/2