What is the inverse of f(x)=x^{1/5}+5 ?

The inverse of f(x)=x^{1/5}+5 is x^5-25x^4+250x^3-1250x^2+3125x-3125

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inverse of f(x)=x^{1/5}+5

inverse

f (x) = x^{\frac{1}{5}} + 5

x^{5} - 25 x^{4} + 250 x^{3} - 1250 x^{2} + 3125 x - 3125

Solution steps

y = x^{\frac{1}{5}} + 5

Replace

x

with

y

x = y^{\frac{1}{5}} + 5

Solve for

y, x = y^{\frac{1}{5}} + 5

x^{5} - 25 x^{4} + 250 x^{3} - 1250 x^{2} + 3125 x - 3125

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

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

f (- 2) = \frac{x + 4}{x + 8}

e^{2 x + 3}

f (x) = \frac{- x + 4}{x - 2}

What is the inverse of f(x)=x^{1/5}+5 ?
The inverse of f(x)=x^{1/5}+5 is x^5-25x^4+250x^3-1250x^2+3125x-3125