Question

If ƒ(x) = 2x, then ƒ -1(x) = -2x ½x x - 2

Answer 1

Answer: second option

Step-by-step 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:

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

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

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

Therefore, substituting $y=f^{-1}(x)$ you get:

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