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tensa zangetsu [6.8K]
2 years ago
7

Given the function f(x) = 2x, find the value of f−1(16).

Mathematics
2 answers:
RUDIKE [14]2 years ago
6 0
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) 

Sedbober [7]2 years ago
5 0
Hi there! The answer is 8.

f(x) = 2x
First we need to find the inverse function.

y = 2x
Switch places of the variables.

x = 2y
Divide both sides of the equation by 2.

\frac{1}{2} x = y
Switch sides.

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

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

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



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