What is the inverse of f(x)=5\sqrt[3]{-3x+7}+7 ?

The inverse of f(x)=5\sqrt[3]{-3x+7}+7 is -(x^3-21x^2+147x-1218)/(375)

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inverse of f(x)=5\sqrt[3]{-3x+7}+7

inverse

- \frac{x ^{3} - 21 x ^{2} + 147 x - 1218}{375}

Solution steps

Replace

x

with

y

Solve for

- \frac{x ^{3} - 21 x ^{2} + 147 x - 1218}{375}

f (x) = \frac{7 - 3 x}{x}

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

f (x) = 11 x^{2} + 7

4 - x^{4}

y = \frac{3 + 10 x}{5 x - 4}

What is the inverse of f(x)=5\sqrt[3]{-3x+7}+7 ?
The inverse of f(x)=5\sqrt[3]{-3x+7}+7 is -(x^3-21x^2+147x-1218)/(375)