What is the inverse of f(x)=\sqrt[3]{12x-13} ?

The inverse of f(x)=\sqrt[3]{12x-13} is (x^3+13)/(12)

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inverse of f(x)=\sqrt[3]{12x-13}

inverse

\frac{x ^{3} + 13}{12}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3} + 13}{12}

2 e^{- 2 x}

f (x) = \frac{2 x ( x + 3 )}{( x - 2 ) ( x - 5 )}

\frac{4 x ^{2} - 49}{7}

f (x) = \frac{( - 3 x + 5 )}{( 7 x + 4 )}

f (x) = - 3 + ln (5 x - 1)

What is the inverse of f(x)=\sqrt[3]{12x-13} ?
The inverse of f(x)=\sqrt[3]{12x-13} is (x^3+13)/(12)