What is the inverse of f(x)=((x-10)^5)/9 ?

The inverse of f(x)=((x-10)^5)/9 is \sqrt[5]{9}\sqrt[5]{x}+10

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inverse of f(x)=((x-10)^5)/9

inverse

f (x) = \frac{( x - 10 ) ^{5}}{9}

59 5 x + 10

Solution steps

y = \frac{( x - 10 ) ^{5}}{9}

Replace

x

with

y

x = \frac{( y - 10 ) ^{5}}{9}

Solve for

y, x = \frac{( y - 10 ) ^{5}}{9}

59 5 x + 10

f (x) = \frac{1}{4} x + 10

\frac{1}{4} x

x^{2} + 9, x \geq 0

f (x) = 7 lo g_{2} (x + 1)

f (x) = 3 3 x + 4

What is the inverse of f(x)=((x-10)^5)/9 ?
The inverse of f(x)=((x-10)^5)/9 is \sqrt[5]{9}\sqrt[5]{x}+10