What is the inverse of y=4\sqrt[5]{x}-2 ?

The inverse of y=4\sqrt[5]{x}-2 is (x^5)/(1024)+(5x^4)/(512)+(5x^3)/(128)+(5x^2)/(64)+(5x)/(64)+1/32

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inverse of y=4\sqrt[5]{x}-2

inverse

\frac{x ^{5}}{1024} + \frac{5 x ^{4}}{512} + \frac{5 x ^{3}}{128} + \frac{5 x ^{2}}{64} + \frac{5 x}{64} + \frac{1}{32}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{5}}{1024} + \frac{5 x ^{4}}{512} + \frac{5 x ^{3}}{128} + \frac{5 x ^{2}}{64} + \frac{5 x}{64} + \frac{1}{32}

f (x) = - \frac{1}{2} x^{2} + 4 x - 3

f (x) = 14 x + 5

x^{2} + x + 2

x^{2} + x - 6

y = x^{2} - 4

What is the inverse of y=4\sqrt[5]{x}-2 ?
The inverse of y=4\sqrt[5]{x}-2 is (x^5)/(1024)+(5x^4)/(512)+(5x^3)/(128)+(5x^2)/(64)+(5x)/(64)+1/32