What is the inverse of f(x)=(5x^3-11)/9 ?

The inverse of f(x)=(5x^3-11)/9 is cube root of (9x+11)/5

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inverse of f(x)=(5x^3-11)/9

inverse

f (x) = \frac{5 x ^{3} - 11}{9}

Solution steps

y = \frac{5 x ^{3} - 11}{9}

Replace

x

with

y

x = \frac{5 y ^{3} - 11}{9}

Solve for

y, x = \frac{5 y ^{3} - 11}{9}

(x + 2)^{\frac{1}{2}}

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

y = - \frac{1}{5} x + 3

f (x) = 5 x + 10

f (x) = \frac{4 x + 8}{x - 3}

What is the inverse of f(x)=(5x^3-11)/9 ?
The inverse of f(x)=(5x^3-11)/9 is cube root of (9x+11)/5