What is the inverse of f(x)=30x^3-2 ?

The inverse of f(x)=30x^3-2 is cube root of (x+2)/(30)

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inverse of f(x)=30x^3-2

inverse

f (x) = 30 x^{3} - 2

Solution steps

y = 30 x^{3} - 2

Replace

x

with

y

x = 30 y^{3} - 2

Solve for

y, x = 30 y^{3} - 2

f (x) = 4 - (\frac{1}{2})^{x - 2}

\frac{2}{3} e^{- \frac{2 x}{3}}

f (x) = 6 - \frac{5}{3} x

f (x) = x^{2} + 2 x - 3, x \leq - 2

f (x) = \frac{5 - 12 x}{6 + 10 x}

What is the inverse of f(x)=30x^3-2 ?
The inverse of f(x)=30x^3-2 is cube root of (x+2)/(30)