Answer: second option
Step-by-step explanation:
To find the inverse function of the given function f(x):
[tex]f(x)=2x[/tex]
You need to:
Substitute [tex]f(x)=y[/tex] into the function:
[tex]y=2x[/tex]
Now, you need to solve for "x", to do this, you must divide both sides of the function by 2:
[tex]\frac{y}{2}=\frac{2x}{2}\\\\\frac{y}{2}=x[/tex]
Now, replace "x" with "y" and replace "y" with "x":
[tex]\frac{x}{2}=y[/tex]
Therefore, substituting [tex]y=f^{-1}(x)[/tex] you get:
[tex]f^{-1}(x)=\frac{x}{2}[/tex] or [tex]f^{-1}(x)=\frac{1}{2}x[/tex]
