What is the inverse of f(x)=5\sqrt[3]{x+10}-8 ?

The inverse of f(x)=5\sqrt[3]{x+10}-8 is (x^3+24x^2+192x+512)/(125)-10

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inverse of f(x)=5\sqrt[3]{x+10}-8

inverse

\frac{x ^{3} + 24 x ^{2} + 192 x + 512}{125} - 10

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3} + 24 x ^{2} + 192 x + 512}{125} - 10

f (x) = \frac{x - 1}{2 x - 6}

y = 21 cos (2 x)

f (x) = 19 x - 46

y = ln (3 x + 1) - 5

f (x) = \frac{5 x - 14}{x - 3}

What is the inverse of f(x)=5\sqrt[3]{x+10}-8 ?
The inverse of f(x)=5\sqrt[3]{x+10}-8 is (x^3+24x^2+192x+512)/(125)-10