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Furkat [3]
2 years ago
14

For the function f(x)=5x^3-6, find f^-1

Mathematics
1 answer:
max2010maxim [7]2 years ago
5 0

Answer:

f^{-1} means the inverse function

f^{-1} = \sqrt[3]{(x + 6)/5}

Step-by-step explanation:

f^{-1} means the inverse function

to find an inverse function, flip the x and y variables and solve for y

f(x) = 5x^3 - 6

y = 5x^3 - 6

x = 5y^3 - 6

x + 6 = 5y^3

(x + 6)/5 = y^3

\sqrt[3]{(x + 6)/5} = y

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