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Popular >

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

Solution

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

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}{4 - x ^{2}} : x < - 2 or - 2 < x < 2 or x > 2

Range of

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

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Popular Examples

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\int_{1}^{4} 3 x - 6 d x

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(\partial)/(\partial y)(ye^x)

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\int 24 x (6 x^{2} - 1)^{5} d x

integral of (x+2)/(x^2+11x+18)

\int \frac{x + 2}{x ^{2} + 11 x + 18} d x

Frequently Asked Questions (FAQ)

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