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

The inverse of f(x)=x+sqrt(x) is (2x+1+sqrt(4x+1))/2 ,(2x+1-sqrt(4x+1))/2

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

inverse

f (x) = x + x

\frac{2 x + 1 + 4 x + 1}{2}, \frac{2 x + 1 - 4 x + 1}{2}

Solution steps

y = x + x

Replace

x

with

y

x = y + y

Solve for

y, x = y + y

\frac{2 x + 1 + 4 x + 1}{2}, \frac{2 x + 1 - 4 x + 1}{2}

f (x) = 2 x^{2} + 7 x - 4

x + 4 - x

(3, 0), (3, - 6)

f (x) = - 3 x^{2} - 42 x - 22

f (x) = x - 3

What is the inverse of f(x)=x+sqrt(x) ?
The inverse of f(x)=x+sqrt(x) is (2x+1+sqrt(4x+1))/2 ,(2x+1-sqrt(4x+1))/2