What is the inverse of f(x)=13x^3-1 ?

The inverse of f(x)=13x^3-1 is cube root of (x+1)/(13)

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inverse of f(x)=13x^3-1

inverse

f (x) = 13 x^{3} - 1

Solution steps

y = 13 x^{3} - 1

Replace

x

with

y

x = 13 y^{3} - 1

Solve for

y, x = 13 y^{3} - 1

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

f (x) = \frac{1}{4 x}

∣ x ∣ - 5

5 x - 3 y = - 15

\frac{( - 4 x ^{2} + 2 x - 1 )}{( x ^{2} + 3 )}

What is the inverse of f(x)=13x^3-1 ?
The inverse of f(x)=13x^3-1 is cube root of (x+1)/(13)