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

The inverse of f(x)=10(\sqrt[4]{x}-10) is (x^4)/(10000)+(x^3)/(25)+6x^2+400x+10000

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

inverse

\frac{x ^{4}}{10000} + \frac{x ^{3}}{25} + 6 x^{2} + 400 x + 10000

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{4}}{10000} + \frac{x ^{3}}{25} + 6 x^{2} + 400 x + 10000

f (x) = 2 - 5 x^{2}

f (x) = 3 x

y = 5 + 5 + x

f (x) = 7 x^{3} - 3 x^{2} + 7

f (x) = \frac{x - 7}{( x - 3 ) ( x + 2 )}

What is the inverse of f(x)=10(\sqrt[4]{x}-10) ?
The inverse of f(x)=10(\sqrt[4]{x}-10) is (x^4)/(10000)+(x^3)/(25)+6x^2+400x+10000