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

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

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

Domain : x < 0 or x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{- 3 + 17}{2}, 0), (\frac{- 3 - 17}{2}, 0)

Asymptotes : Vertical x = 0, Slant y = x + 3

Extreme Points : None

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 3 x - 2}{x} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (\frac{- 3 + 17}{2}, 0), (\frac{- 3 - 17}{2}, 0)

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x + 3

Extreme Points of

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

None

x \to 0 lim (6 - \frac{1}{x ^{3}})

x \to 6 lim (- x^{2} + 3 x - 6)

\frac{\partial}{\partial x} (2 x y - 3 y cos (x) + 5 y^{2})

\int \frac{3 x + ( 2 )}{( x )} d x