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Popular >

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

Solution

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

Solution

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

Range : f (x) < \frac{3}{5} or \frac{3}{5} < f (x) < 1 or f (x) > 1

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

Asymptotes : Vertical x = 3, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \frac{3}{5}) \cup (\frac{3}{5}, 1) \cup (1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + x - 2}{x ^{2} - x - 6} : f (x) < \frac{3}{5} or \frac{3}{5} < f (x) < 1 or f (x) > 1

Axis interception points of

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

X Intercepts

: (1, 0),

Y Intercepts

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

Asymptotes of

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

Vertical

: x = 3,

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

factor x^2+2x factor

x^{2} + 2 x

f (x) = - 6 x^{3}

f(x)=x^3-x^2-x-1

f (x) = x^{3} - x^{2} - x - 1

f(x)=tan(ln(x^2))

f (x) = tan (ln (x^{2}))

f(x)=log_{10}(x)log_{10}(2)

f (x) = lo g_{10} (x) lo g_{10} (2)

Frequently Asked Questions (FAQ)

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