What is the inverse of f(x)=(x 1/2+2)^5-10 ?

The inverse of f(x)=(x 1/2+2)^5-10 is 2\sqrt[5]{x+10}-4

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inverse of f(x)=(x 1/2+2)^5-10

inverse

f (x) = (x \frac{1}{2} + 2)^{5} - 10

Solution steps

y = (x \frac{1}{2} + 2)^{5} - 10

Replace

x

with

y

x = (y \frac{1}{2} + 2)^{5} - 10

Solve for

y, x = (y \frac{1}{2} + 2)^{5} - 10

(x^{2} + 1)^{2}

\frac{5 x}{9 x - 1}

f (x) = 4 (x^{7} - 5)

x^{2} + 8 x + 12

y = - \frac{2}{3} x + 0

What is the inverse of f(x)=(x 1/2+2)^5-10 ?
The inverse of f(x)=(x 1/2+2)^5-10 is 2\sqrt[5]{x+10}-4