What is the inverse of f(x)=2+\sqrt[5]{x-2} ?

The inverse of f(x)=2+\sqrt[5]{x-2} is x^5-10x^4+40x^3-80x^2+80x-30

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inverse of f(x)=2+\sqrt[5]{x-2}

inverse

x^{5} - 10 x^{4} + 40 x^{3} - 80 x^{2} + 80 x - 30

Solution steps

Replace

x

with

y

Solve for

x^{5} - 10 x^{4} + 40 x^{3} - 80 x^{2} + 80 x - 30

f (x) = 3 - 4 x^{3}

f (x) = 8 x - 11

f (t) = \frac{200 t}{12 + ( t - 4 ) ^{2}}

- e^{x - 1}

y = cosh (x) - 1

What is the inverse of f(x)=2+\sqrt[5]{x-2} ?
The inverse of f(x)=2+\sqrt[5]{x-2} is x^5-10x^4+40x^3-80x^2+80x-30