Question

If ƒ(x) = 2x, then ƒ -1(x) =

-2x
½x
x - 2

Answer 1

Answer: second option

Explanation:

To find the inverse function of the given function f(x):

`f(x)=2x`

You need to:

Substitute
`f(x)=y` into the function:

`y=2x`

Now, you need to solve for "x", to do this, you must divide both sides of the function by 2:

`(y)/(2)=(2x)/(2)\\\\(y)/(2)=x`

Now, replace "x" with "y" and replace "y" with "x":

`(x)/(2)=y`

Therefore, substituting
`y=f^(-1)(x)` you get:

`f^(-1)(x)=(x)/(2)` or
`f^(-1)(x)=(1)/(2)x`