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Popular >

y=(x^2+1)/(x^2-4)

Solution

y = \frac{x ^{2} + 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) > 1

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

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 1

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

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Horizontal

: y = 1

Extreme Points of

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

Maximum

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

Popular Examples

f (x) = - 2 x^{2} + 1

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

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

f(θ)=(cos(θ))^2

f (θ) = (cos (θ))^{2}

f (x) = x^{2} - 18

y=arctan(ln(x))

y = arctan (ln (x))

Frequently Asked Questions (FAQ)

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