3 years ago

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

Mathematics

1 answer:

max2010maxim [7]3 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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