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abruzzese [7]
3 years ago
6

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

Mathematics
1 answer:
kap26 [50]3 years ago
7 0

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

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