What is the range of ((2sqrt(x)+x)^2)/(5+xsqrt(x)) ?

The range of ((2sqrt(x)+x)^2)/(5+xsqrt(x)) is f(x)>= 0

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range of ((2sqrt(x)+x)^2)/(5+xsqrt(x))

range

\frac{( 2 x + x ) ^{2}}{5 + x x}

f (x) \geq 0

Interval Notation

[0, \infty)

Solution steps

Find the minimum and maximum value in each defined interval and unite the results

Domain of

\frac{( 2 x + x ) ^{2}}{5 + x x} : x \geq 0

Extreme Points of

\frac{( 2 x + x ) ^{2}}{5 + x x} :

None

Find the range for the interval

0 \leq x < \infty : 0 \leq f (x) < \infty

Combine the ranges of all domain intervals to obtain the function range

f (x) \geq 0

(0, 0), (1, 2)

(- 3, 8), (9, - 2)

f (x) = \frac{2 x ^{2}}{x - 7}

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

What is the range of ((2sqrt(x)+x)^2)/(5+xsqrt(x)) ?
The range of ((2sqrt(x)+x)^2)/(5+xsqrt(x)) is f(x)>= 0