What is the inverse of f(x)= 1/2 x^3-15 ?

The inverse of f(x)= 1/2 x^3-15 is cube root of 2x+30

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inverse of f(x)= 1/2 x^3-15

inverse

f (x) = \frac{1}{2} x^{3} - 15

Solution steps

y = \frac{1}{2} x^{3} - 15

Replace

x

with

y

x = \frac{1}{2} y^{3} - 15

Solve for

y, x = \frac{1}{2} y^{3} - 15

f (x) = \frac{x ( 3 x - 1 )}{2}

5 x - 2

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

3 - 3 - x

What is the inverse of f(x)= 1/2 x^3-15 ?
The inverse of f(x)= 1/2 x^3-15 is cube root of 2x+30