en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(x^2+1)/(x^2-16)

Solution

f (x) = \frac{x ^{2} + 1}{x ^{2} - 16}

Solution

Domain : x < - 4 or - 4 < x < 4 or x > 4

Range : f (x) \leq - \frac{1}{16} or f (x) > 1

Y Intercepts : (0, - \frac{1}{16})

Asymptotes : Vertical x = - 4, x = 4, Horizontal y = 1

Extreme Points : Maximum (0, - \frac{1}{16})

+1

Solution steps

Domain of

\frac{x ^{2} + 1}{x ^{2} - 16} : x < - 4 or - 4 < x < 4 or x > 4

Range of

\frac{x ^{2} + 1}{x ^{2} - 16} : f (x) \leq - \frac{1}{16} or f (x) > 1

Axis interception points of

\frac{x ^{2} + 1}{x ^{2} - 16} :

Y Intercepts

: (0, - \frac{1}{16})

Asymptotes of

\frac{x ^{2} + 1}{x ^{2} - 16} :

Vertical

: x = - 4, x = 4,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} + 1}{x ^{2} - 16} :

Maximum

(0, - \frac{1}{16})

Popular Examples

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

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

f(x)=(cot(x))/(ln(10))

f (x) = \frac{cot ( x )}{ln ( 10 )}

y=-5x^3-5x^2+210x

y = - 5 x^{3} - 5 x^{2} + 210 x

f(x)=sqrt(x^2-12)

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

f(x)=2-log_{4}(x)

f (x) = 2 - lo g_{4} (x)

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+1)/(x^2-16) ?
The f(x)=(x^2+1)/(x^2-16) is