What is the inverse of f(x)=x+8sqrt(x) ?

The inverse of f(x)=x+8sqrt(x) is x+32+8sqrt(x+16),x+32-8sqrt(x+16)

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inverse of f(x)=x+8sqrt(x)

inverse

f (x) = x + 8 x

x + 32 + 8 x + 16, x + 32 - 8 x + 16

Solution steps

y = x + 8 x

Replace

x

with

y

x = y + 8 y

Solve for

y, x = y + 8 y

x + 32 + 8 x + 16, x + 32 - 8 x + 16

\frac{2 x + 1}{x + 1}

x (- x + 8)

f (x) = 2 \cdot x

f (x) = \frac{\frac{2}{x} - 3}{\frac{4}{x ^{2}} - 9}

\frac{1}{4} x^{3} - 2

What is the inverse of f(x)=x+8sqrt(x) ?
The inverse of f(x)=x+8sqrt(x) is x+32+8sqrt(x+16),x+32-8sqrt(x+16)