What is the inverse of f(x)=3x^4+7 ?

The inverse of f(x)=3x^4+7 is \sqrt[4]{(x-7)/3},-\sqrt[4]{(x-7)/3}

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inverse of f(x)=3x^4+7

inverse

f (x) = 3 x^{4} + 7

Solution steps

y = 3 x^{4} + 7

Replace

x

with

y

x = 3 y^{4} + 7

Solve for

y, x = 3 y^{4} + 7

x e^{\frac{1}{x}}

\frac{45 π}{4}

3 x^{\frac{2}{3}} - 2 x

y = 3 x + 6

2 x^{3} - 12 x^{2} + 10 x + 10

What is the inverse of f(x)=3x^4+7 ?
The inverse of f(x)=3x^4+7 is \sqrt[4]{(x-7)/3},-\sqrt[4]{(x-7)/3}