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Setler79 [48]
3 years ago
5

Solve for the inverse of: f(x)=1/8(x+1)^3

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0

Answer: y=(8x)^{\frac{1}{3}} -1 or y=\sqrt[3]{8x} -1

Step-by-step explanation:

To find the inverse, you switch y with x and x with y. Then, you solve for y.

y=\frac{1}{8} (x+1)^3          [switch y with x and x with y]

x=\frac{1}{8} (y+1)^3          [multiply both sides by 8]

8x=(y+1)^3           [cube both sides]

\sqrt[3]{8x} =y+1             [subtract both sides by 1]

y=\sqrt[3]{8x} -1 or y=(8x)^{\frac{1}{3}} -1

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