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Liula [17]
3 years ago
12

Find the inverse of the function. f-^1(x)= (x – 5)^3 + 1

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

Step-by-step explanation:

To find the inverse of function y=f(x), swap variables and then solve for the original variable.

y=(x-5)^3+1\\ \\ x=(y-5)^3+1\\ \\ x-1=(y-5)^3\\ \\ \sqrt[3]{x-1}=y-5\\ \\ y=\sqrt[3]{x-1}+5\\ \\ f^{-1}(x)=\sqrt[3]{x-1}+5

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