What is the inverse of f(x)=5(x+9)^{1/4} ?

The inverse of f(x)=5(x+9)^{1/4} is (x^4)/(625)-9

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inverse of f(x)=5(x+9)^{1/4}

inverse

f (x) = 5 (x + 9)^{\frac{1}{4}}

\frac{x ^{4}}{625} - 9

Solution steps

y = 5 (x + 9)^{\frac{1}{4}}

Replace

x

with

y

x = 5 (y + 9)^{\frac{1}{4}}

Solve for

y, x = 5 (y + 9)^{\frac{1}{4}}

\frac{x ^{4}}{625} - 9

- x^{2} + 8 x

4 + x

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

f (x) = \frac{9}{x - 2}

What is the inverse of f(x)=5(x+9)^{1/4} ?
The inverse of f(x)=5(x+9)^{1/4} is (x^4)/(625)-9