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

The inverse of f(x)=\sqrt[4]{x+3}+7 is x^4-28x^3+294x^2-1372x+2398

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inverse of f(x)=\sqrt[4]{x+3}+7

inverse

x^{4} - 28 x^{3} + 294 x^{2} - 1372 x + 2398

Solution steps

Replace

x

with

y

Solve for

x^{4} - 28 x^{3} + 294 x^{2} - 1372 x + 2398

2 x + 3

f (x) = x^{4} - 3 x^{2}

(1, 3), (5, 6)

f (x) = \frac{6}{6 - x}

f (x) = 2 x + 16

What is the inverse of f(x)=\sqrt[4]{x+3}+7 ?
The inverse of f(x)=\sqrt[4]{x+3}+7 is x^4-28x^3+294x^2-1372x+2398