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Tamiku [17]
3 years ago
8

F(x) = 4x − 12 f−1(x) =___? x +____?

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

f^{-1}(x)=\frac{1}{4}x+3

Step-by-step explanation:

We have been given the function f(x)=4x-12

Below are steps for finding the inverse of the function.

Step 1:

Replace f(x) with y

y=4x-12

Step 2:

Interchange x and y

x=4y-12

Step 3:

Solve for y

x+12=4y\\\\y=\frac{1}{4}x+3

Step 4:

Replace y with f^{-1}(x)

f^{-1}(x)=\frac{1}{4}x+3

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