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Popular >

f(x)=(x-3)/(x^2+x-12)

Solution

f (x) = \frac{x - 3}{x ^{2} + x - 12}

Solution

Domain : x < - 4 or - 4 < x < 3 or x > 3

Range : f (x) < 0 or 0 < f (x) < \frac{1}{7} or f (x) > \frac{1}{7}

Y Intercepts : (0, \frac{1}{4})

Asymptotes : Vertical x = - 4, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 3) \cup (3, \infty)

Range : (- \infty, 0) \cup (0, \frac{1}{7}) \cup (\frac{1}{7}, \infty)

Solution steps

Domain of

\frac{x - 3}{x ^{2} + x - 12} : x < - 4 or - 4 < x < 3 or x > 3

Range of

\frac{x - 3}{x ^{2} + x - 12} : f (x) < 0 or 0 < f (x) < \frac{1}{7} or f (x) > \frac{1}{7}

Axis interception points of

\frac{x - 3}{x ^{2} + x - 12} :

Y Intercepts

: (0, \frac{1}{4})

Asymptotes of

\frac{x - 3}{x ^{2} + x - 12} :

Vertical

: x = - 4,

Horizontal

: y = 0

Extreme Points of

\frac{x - 3}{x ^{2} + x - 12} :

None

Popular Examples

f(x)=(x^2-25)/(2x^2-17x+35)

f (x) = \frac{x ^{2} - 25}{2 x ^{2} - 17 x + 35}

f(x)=sqrt((x(3+x)-4)/(x^2-1))

f (x) = \frac{x ( 3 + x ) - 4}{x ^{2} - 1}

y = x^{2} - 64

36y^2=(x^2-4)^3,2<= x<= 3

36 y^{2} = (x^{2} - 4)^{3}, 2 \leq x \leq 3

f (x) = - x^{2} - 6 x - 9

Frequently Asked Questions (FAQ)

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