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melamori03 [73]
3 years ago
13

What is the inverse of the function f(x) = one-quarterx – 12?

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
8 0

Answer:

f^{-1} (x) = 4x + 48

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = \frac{1}{4} x - 12 ( multiply through bt 4 to clear the fraction )

4y = x - 48 ( add 48 to both sides )

4y + 48 = x

Change t back into terms of x with x = f^{-1} (x)

f^{-1} (x) = 4x + 48

LenaWriter [7]3 years ago
3 0

Answer:

y = 4x - 48

Step-by-step explanation:

y = 1/4 x - 12

x = 1/4 y - 12

4x = y - 48

y = 4x - 48

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