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Popular >

f(x)=(x^2-9)/(x^2+x-6)

Solution

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

Solution

Domain : x < - 3 or - 3 < x < 2 or x > 2

Range : f (x) < 1 or 1 < f (x) < \frac{6}{5} or f (x) > \frac{6}{5}

X Intercepts : (3, 0), Y Intercepts : (0, \frac{3}{2})

Asymptotes : Vertical x = 2, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Range : (- \infty, 1) \cup (1, \frac{6}{5}) \cup (\frac{6}{5}, \infty)

Solution steps

Domain of

\frac{x ^{2} - 9}{x ^{2} + x - 6} : x < - 3 or - 3 < x < 2 or x > 2

Range of

\frac{x ^{2} - 9}{x ^{2} + x - 6} : f (x) < 1 or 1 < f (x) < \frac{6}{5} or f (x) > \frac{6}{5}

Axis interception points of

\frac{x ^{2} - 9}{x ^{2} + x - 6} :

X Intercepts

: (3, 0),

Y Intercepts

: (0, \frac{3}{2})

Asymptotes of

\frac{x ^{2} - 9}{x ^{2} + x - 6} :

Vertical

: x = 2,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 9}{x ^{2} + x - 6} :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-9)/(x^2+x-6) ?
The f(x)=(x^2-9)/(x^2+x-6) is