What is the inverse of f(x)=8(\sqrt[4]{x}-10) ?

The inverse of f(x)=8(\sqrt[4]{x}-10) is (x^4}{4096}+(5x^3)/(64)+\frac{75x^2)/8+500x+10000

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inverse of f(x)=8(\sqrt[4]{x}-10)

inverse

\frac{x ^{4}}{4096} + \frac{5 x ^{3}}{64} + \frac{75 x ^{2}}{8} + 500 x + 10000

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{4}}{4096} + \frac{5 x ^{3}}{64} + \frac{75 x ^{2}}{8} + 500 x + 10000

f (x) = \frac{4}{1 - 3 x}

f (x) = - 3 x^{2} - 12 x - 9

\frac{x ^{3} + 5}{x ^{5} + 2}

y = \frac{3}{4} x - \frac{31}{4}, (1, 0)

f (x) = - (- 12 x + 13)^{2} - 1

What is the inverse of f(x)=8(\sqrt[4]{x}-10) ?
The inverse of f(x)=8(\sqrt[4]{x}-10) is (x^4}{4096}+(5x^3)/(64)+\frac{75x^2)/8+500x+10000