What is the inverse of f(x)=((5+\sqrt[5]{x}-3))/4 ?

The inverse of f(x)=((5+\sqrt[5]{x}-3))/4 is 1024x^5-2560x^4+2560x^3-1280x^2+320x-32

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inverse of f(x)=((5+\sqrt[5]{x}-3))/4

inverse

f (x) = \frac{( 5 + 5 x - 3 )}{4}

1024 x^{5} - 2560 x^{4} + 2560 x^{3} - 1280 x^{2} + 320 x - 32

Solution steps

y = \frac{5 + 5 x - 3}{4}

Replace

x

with

y

x = \frac{5 + 5 y - 3}{4}

Solve for

y, x = \frac{5 + 5 y - 3}{4}

1024 x^{5} - 2560 x^{4} + 2560 x^{3} - 1280 x^{2} + 320 x - 32

f (x) = 4 sin (\frac{π}{2} (x)) - 1

y = \frac{5 x}{8 x - 3}

y = - x^{2} + 2 x + 3

\frac{5 x - 3}{2 + x}

\frac{s + 1}{s ^{2} - 4 s + 13}

What is the inverse of f(x)=((5+\sqrt[5]{x}-3))/4 ?
The inverse of f(x)=((5+\sqrt[5]{x}-3))/4 is 1024x^5-2560x^4+2560x^3-1280x^2+320x-32