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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) > 0

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

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

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

+1

Interval Notation

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

Range : (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) > 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 ∣} :

Minimum

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

Popular Examples

y = x^{2} - 10 x - 14

h(x)=-(x+1)(x-7)

h (x) = - (x + 1) (x - 7)

p (x) = x^{2} - x - 12

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

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

f (x) = 2 ∣ x ∣ - 1

Frequently Asked Questions (FAQ)

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