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Popular >

f(x)=(4x)/(x^2-16)

Solution

f (x) = \frac{4 x}{x ^{2} - 16}

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 4, x = 4, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 4) \cup (4, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{4 x}{x ^{2} - 16} : - \infty < f (x) < \infty

Axis interception points of

\frac{4 x}{x ^{2} - 16} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 x}{x ^{2} - 16} :

Vertical

: x = - 4, x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{4 x}{x ^{2} - 16} :

None

Popular Examples

f(x)=(cos(2x)-1)/(sin(2x))

f (x) = \frac{cos ( 2 x ) - 1}{sin ( 2 x )}

y = x^{2} + 9 x + 18

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

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

f(x)=x^4+x^3-4x^2-4x

f (x) = x^{4} + x^{3} - 4 x^{2} - 4 x

f(x)=x^{8/3}-20x^{2/3}

f (x) = x^{\frac{8}{3}} - 20 x^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

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