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Popular >

f(x)=(x^2+1)/(x^4+3x^2+1)

Solution

f (x) = \frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq 1

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (0, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, 1]

Solution steps

Domain of

\frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1} : - \infty < x < \infty

Range of

\frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1} : 0 < f (x) \leq 1

Axis interception points of

\frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1} :

Maximum

(0, 1)

Popular Examples

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f (x) = x - 2 + \frac{x ^{2}}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+1)/(x^4+3x^2+1) ?
The f(x)=(x^2+1)/(x^4+3x^2+1) is