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Popular >

f(x)= 1/((x^2-4))

Solution

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

Solution

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

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

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

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 0

Extreme Points : Maximum (0, - \frac{1}{4})

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{1}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

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

Axis interception points of

\frac{1}{x ^{2} - 4} :

Y Intercepts

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

Asymptotes of

\frac{1}{x ^{2} - 4} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ^{2} - 4} :

Maximum

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

Popular Examples

f(a)=sqrt(a^2+4)

f (a) = a^{2} + 4

F (x) = x

y=(x+2)(x-1)^3(x-3)

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

f (x) = 8 x - 11

y=x^3-6x^2+9x-3

y = x^{3} - 6 x^{2} + 9 x - 3

Frequently Asked Questions (FAQ)

What is the f(x)= 1/((x^2-4)) ?
The f(x)= 1/((x^2-4)) is