Respuesta :

MrGumby
8. 

First you must find the inverse of the function since that's what the f-1 means. You do this by switching the f(x) and the x and then solve for f(x). 

f(x) = 2x - switch them
x = 2f(x) - now divide the 2 away
x/2 = f(x) - now put the 16 in for x to find f-1(16)
16/2 = f(x) 
8 = f(x) 

MarkV
Hi there! The answer is 8.

[tex]f(x) = 2x[/tex]
First we need to find the inverse function.

[tex]y = 2x[/tex]
Switch places of the variables.

[tex]x = 2y[/tex]
Divide both sides of the equation by 2.

[tex] \frac{1}{2} x = y[/tex]
Switch sides.

[tex]y = \frac{1}{2} x[/tex]
Now we've found our inverse function.

[tex]f {}^{ - 1} (x) = \frac{1}{2} x[/tex]
Plug in x = 16 into the formula.

[tex]f {}^{ - 1} (16) = \frac{1}{2} \times 16 = 8[/tex]
Therefore, the answer is 8.
~ Hope this helps you!