x-2+sqrt(x) - Wolfram|Alpha

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Input

x - 2 + sqrt(x)

Alternate form

(sqrt(x) - 1) (sqrt(x) + 2)

Root

x = 1

Properties as a real function

Domain

{x element R : x>=0} (all non-negative real numbers)

Range

{y element R : y>=-2}

Injectivity

injective (one-to-one)

Derivative

d/dx(x - 2 + sqrt(x)) = 1/(2 sqrt(x)) + 1

Indefinite integral

integral(x - 2 + sqrt(x)) dx = 1/6 x (3 x + 4 sqrt(x) - 12) + constant

Global minimum

min{x - 2 + sqrt(x)} = -2 at x = 0

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