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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq - \frac{9}{4}

X Intercepts : (- \frac{1}{3}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (- \frac{2}{3}, - \frac{9}{4})

+1

Interval Notation

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

Range : [- \frac{9}{4}, \infty)

Solution steps

Domain of

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

Range of

\frac{3 x + 1}{x ^{2}} : f (x) \geq - \frac{9}{4}

Axis interception points of

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

X Intercepts

: (- \frac{1}{3}, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- \frac{2}{3}, - \frac{9}{4})

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