What is the inverse of f(x)=\sqrt[3]{2x}+7 ?

The inverse of f(x)=\sqrt[3]{2x}+7 is (x^3-21x^2+147x-343)/2

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inverse of f(x)=\sqrt[3]{2x}+7

inverse

\frac{x ^{3} - 21 x ^{2} + 147 x - 343}{2}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3} - 21 x ^{2} + 147 x - 343}{2}

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

f (x) = x^{3} - 4 x^{2} + x + 6

2 cos (4 x + \frac{π}{2})

\frac{3}{x ^{2} + 2 x}

f (x) = x^{3} - 3 x^{2} + 12

What is the inverse of f(x)=\sqrt[3]{2x}+7 ?
The inverse of f(x)=\sqrt[3]{2x}+7 is (x^3-21x^2+147x-343)/2