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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 or f (x) \geq \frac{1}{4}

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 : (- \infty, 0) \cup [\frac{1}{4}, \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 or f (x) \geq \frac{1}{4}

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

f(x)=(3x-2)/(2x-3)

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

f(m)=m^2+25m+2500

f (m) = m^{2} + 25 m + 2500

f(x)= 1/8 (3x^5-20x^3+16)

f (x) = \frac{1}{8} (3 x^{5} - 20 x^{3} + 16)

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

y=log_{10}(2-5x)

y = lo g_{10} (2 - 5 x)

Frequently Asked Questions (FAQ)

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