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Anika [276]
2 years ago
5

30. If f(x)=1/2x-6 , what is the equation for f^-1(x)

Mathematics
1 answer:
Yanka [14]2 years ago
3 0

Answer:

f^{-1} (x) = 2x + 12

Step-by-step explanation:

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

y = \frac{1}{2} x - 6 ( multiply through by 2 to clear the fraction )

2y = x - 12 ( add 12 to both sides )

2y + 12 = x

change y back into terms of x with x = f^{-1} (x) , then

f^{-1} (x) = 2x + 12

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