What is the inverse of g(x)=\sqrt[5]{2x-1}-1 ?

The inverse of g(x)=\sqrt[5]{2x-1}-1 is (x^5+5x^4+10x^3+10x^2+5x+2)/2

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inverse of g(x)=\sqrt[5]{2x-1}-1

inverse

\frac{x ^{5} + 5 x ^{4} + 10 x ^{3} + 10 x ^{2} + 5 x + 2}{2}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{5} + 5 x ^{4} + 10 x ^{3} + 10 x ^{2} + 5 x + 2}{2}

f (x) = x^{2} - 12 x, x \geq 6

f (x) = 3 x + 13

f (x) = \frac{x ^{3}}{8}

f (x) = 3 x - 20

f (x) = 6 x - 24

What is the inverse of g(x)=\sqrt[5]{2x-1}-1 ?
The inverse of g(x)=\sqrt[5]{2x-1}-1 is (x^5+5x^4+10x^3+10x^2+5x+2)/2