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Popular >

f(x)=(x+3)/(x^2-16)

Solution

f (x) = \frac{x + 3}{x ^{2} - 16}

Solution

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

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

X Intercepts : (- 3, 0), Y Intercepts : (0, - \frac{3}{16})

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{x + 3}{x ^{2} - 16} : x < - 4 or - 4 < x < 4 or x > 4

Range of

\frac{x + 3}{x ^{2} - 16} : - \infty < f (x) < \infty

Axis interception points of

\frac{x + 3}{x ^{2} - 16} :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, - \frac{3}{16})

Asymptotes of

\frac{x + 3}{x ^{2} - 16} :

Vertical

: x = - 4, x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{x + 3}{x ^{2} - 16} :

None

Popular Examples

y = - 4 x^{2} - 16 x

f(x)= 1/((x+2))

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

f(x)=sqrt(5x^3-8x^2+9x-6)

f (x) = 5 x^{3} - 8 x^{2} + 9 x - 6

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

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

y = - x^{2} - x + 12

Frequently Asked Questions (FAQ)

What is the f(x)=(x+3)/(x^2-16) ?
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