What is the inverse of f(x)=(5*\sqrt[3]{x-3}+1)^5 ?

The inverse of f(x)=(5*\sqrt[3]{x-3}+1)^5 is (x^{3/5}-3x^{2/5}+3\sqrt[5]{x}-1)/(125)+3

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

inverse

Solution steps

Replace

x

with

y

Solve for

4 x - 3

y = \frac{3}{4} x - \frac{3}{2}

\frac{( 2 x - 1 )}{( 5 x - 3 )}

f (x) = x^{2} - 16, x > 0

c \cdot e^{- c x}

What is the inverse of f(x)=(5*\sqrt[3]{x-3}+1)^5 ?
The inverse of f(x)=(5*\sqrt[3]{x-3}+1)^5 is (x^{3/5}-3x^{2/5}+3\sqrt[5]{x}-1)/(125)+3