What is the f(x)=(x^2+2x)/1+(3x-x^2)/(2x) ?

The f(x)=(x^2+2x)/1+(3x-x^2)/(2x) is

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f(x)=(x^2+2x)/1+(3x-x^2)/(2x)

f (x) = \frac{x ^{2} + 2 x}{1} + \frac{3 x - x ^{2}}{2 x}

Domain : x < 0 or x > 0

Range : f (x) \geq \frac{15}{16}

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{4}, \frac{15}{16})

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : [\frac{15}{16}, \infty)

Solution steps

Domain of

\frac{x ^{2} + 2 x}{1} + \frac{3 x - x ^{2}}{2 x} : x < 0 or x > 0

Range of

\frac{x ^{2} + 2 x}{1} + \frac{3 x - x ^{2}}{2 x} : f (x) \geq \frac{15}{16}

Axis interception points of

\frac{x ^{2} + 2 x}{1} + \frac{3 x - x ^{2}}{2 x} :

None

Asymptotes of

\frac{x ^{2} + 2 x}{1} + \frac{3 x - x ^{2}}{2 x} :

None

Extreme Points of

\frac{x ^{2} + 2 x}{1} + \frac{3 x - x ^{2}}{2 x} :

Minimum

(- \frac{3}{4}, \frac{15}{16})

y = 4 x^{2} + 24 x

y = \frac{3 x ^{2} + 2 x + 4}{x ^{2} - 2 x + 1}

f (x) = 4 x^{2} - 5 x + 1

g (x) = 2 x^{2} - 6 x - 56

f (x) = 3 x^{4} + 2 x^{3}

What is the f(x)=(x^2+2x)/1+(3x-x^2)/(2x) ?
The f(x)=(x^2+2x)/1+(3x-x^2)/(2x) is