What is the inverse of f(x)=5x^4+3 ?

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

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inverse of f(x)=5x^4+3

inverse

f (x) = 5 x^{4} + 3

Solution steps

y = 5 x^{4} + 3

Replace

x

with

y

x = 5 y^{4} + 3

Solve for

y, x = 5 y^{4} + 3

f (x) = - (x - 6)^{2} + 4

y = \frac{x ^{2}}{2} - 2 x + 1

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

f (x) = 5 + 3 x

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

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