What is the inverse of f(x)=sqrt(x^3+5) ?

The inverse of f(x)=sqrt(x^3+5) is cube root of x^2-5

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inverse of f(x)=sqrt(x^3+5)

inverse

f (x) = x^{3} + 5

Solution steps

y = x^{3} + 5

Replace

x

with

y

x = y^{3} + 5

Solve for

y, x = y^{3} + 5

y = 2 x^{2} + 24 x - 6

f (x) = x + 2

f (x) = 5 - \frac{x + 1}{3}

y = 3 (x + 4)^{2} + 1

y = - 1, (8, - 4)

What is the inverse of f(x)=sqrt(x^3+5) ?
The inverse of f(x)=sqrt(x^3+5) is cube root of x^2-5