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olya-2409 [2.1K]
3 years ago
6

Find the inverse of the function y=(x-4)^3

Mathematics
2 answers:
e-lub [12.9K]3 years ago
6 0

Answer:

y =\sqrt[3]{x} + 4

Step-by-step explanation:

Here, the given function,

y=(x-4)^3

For finding the inverse,

Step 1 : switch x and y,

x = (y-4)^3

Step 2 : isolate y,

\sqrt[3]{x}=y-4

\implies y =\sqrt[3]{x} + 4

Which is the required inverse of the given function.

Alik [6]3 years ago
4 0
Exchange the x & y's and solve for y

x=(y-4)³

x^(1/3) = y-4

x^(1/3) - 4 ,= y

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