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Popular >

g(x)=(x-2)/(x^2-4)

Solution

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

Solution

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

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

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, 0) \cup (0, \frac{1}{4}) \cup (\frac{1}{4}, \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) < 0 or 0 < f (x) < \frac{1}{4} or f (x) > \frac{1}{4}

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

h(t)=-4.9t^2+19.6t+2

h (t) = - 4.9 t^{2} + 19.6 t + 2

f(x)=sqrt(x^3+2)

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

y=log_{3}(x+1)-2

y = lo g_{3} (x + 1) - 2

f (x) = ∣ x + 4 ∣ + 2

f(x)=(sin(x)+1)/(sin(x)-1)

f (x) = \frac{sin ( x ) + 1}{sin ( x ) - 1}

Frequently Asked Questions (FAQ)

What is the g(x)=(x-2)/(x^2-4) ?
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