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Popular >

f(x)=((x+2))/(x^2-4)

Solution

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

Solution

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

Range : f (x) < - \frac{1}{4} or - \frac{1}{4} < f (x) < 0 or f (x) > 0

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

Asymptotes : Vertical x = 2, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{4}) \cup (- \frac{1}{4}, 0) \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 2}{x ^{2} - 4} : f (x) < - \frac{1}{4} or - \frac{1}{4} < f (x) < 0 or f (x) > 0

Axis interception points of

\frac{x + 2}{x ^{2} - 4} :

Y Intercepts

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

Asymptotes of

\frac{x + 2}{x ^{2} - 4} :

Vertical

: x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{x + 2}{x ^{2} - 4} :

None

Popular Examples

f (x) = 5 x^{3} - 15 x

f (3) = 2^{x}

f(x)=(5x-7)/(6x-9)

f (x) = \frac{5 x - 7}{6 x - 9}

f(x)=2x^3+6x^2-18x-54

f (x) = 2 x^{3} + 6 x^{2} - 18 x - 54

f(x)=(x+1)(x-5)(x+6)

f (x) = (x + 1) (x - 5) (x + 6)

Frequently Asked Questions (FAQ)

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