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Popular >

y=(3x-1)/(3x^2+5x-2)

Solution

y = \frac{3 x - 1}{3 x ^{2} + 5 x - 2}

Solution

Domain : x < - 2 or - 2 < x < \frac{1}{3} or x > \frac{1}{3}

Range : f (x) < 0 or 0 < f (x) < \frac{3}{7} or f (x) > \frac{3}{7}

Y Intercepts : (0, \frac{1}{2})

Asymptotes : Vertical x = - 2, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Range : (- \infty, 0) \cup (0, \frac{3}{7}) \cup (\frac{3}{7}, \infty)

Solution steps

Domain of

\frac{3 x - 1}{3 x ^{2} + 5 x - 2} : x < - 2 or - 2 < x < \frac{1}{3} or x > \frac{1}{3}

Range of

\frac{3 x - 1}{3 x ^{2} + 5 x - 2} : f (x) < 0 or 0 < f (x) < \frac{3}{7} or f (x) > \frac{3}{7}

Axis interception points of

\frac{3 x - 1}{3 x ^{2} + 5 x - 2} :

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{3 x - 1}{3 x ^{2} + 5 x - 2} :

Vertical

: x = - 2,

Horizontal

: y = 0

Extreme Points of

\frac{3 x - 1}{3 x ^{2} + 5 x - 2} :

None

Popular Examples

f(x)=sqrt(2x^2-8)

f (x) = 2 x^{2} - 8

y= 1/(2x+sqrt(2))

y = \frac{1}{2 x + 2}

y=(x+2)/(x^2-3x-10)

y = \frac{x + 2}{x ^{2} - 3 x - 10}

f (x) = 3 x^{2} - x + 9

y = 4 sin (x + 4 5^{\circ}) + 3

Frequently Asked Questions (FAQ)

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