What is the inverse of f(x)=x+2sqrt(x) ?

The inverse of f(x)=x+2sqrt(x) is x+2+2sqrt(x+1),x+2-2sqrt(x+1)

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inverse of f(x)=x+2sqrt(x)

inverse

f (x) = x + 2 x

x + 2 + 2 x + 1, x + 2 - 2 x + 1

Solution steps

y = x + 2 x

Replace

x

with

y

x = y + 2 y

Solve for

y, x = y + 2 y

x + 2 + 2 x + 1, x + 2 - 2 x + 1

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

g (x) = - \frac{1}{2 9 - x}

f (x) = - 2 x^{2} + 24 x

y = 5 x

f (x) = 2 x^{2} - 5

What is the inverse of f(x)=x+2sqrt(x) ?
The inverse of f(x)=x+2sqrt(x) is x+2+2sqrt(x+1),x+2-2sqrt(x+1)