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Popular >

r(x)=(2x+3)/(x^2-9)

Solution

r (x) = \frac{2 x + 3}{x ^{2} - 9}

Solution

Domain : x < - 3 or - 3 < x < 3 or x > 3

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

X Intercepts : (- \frac{3}{2}, 0), Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = - 3, x = 3, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{2 x + 3}{x ^{2} - 9} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{2 x + 3}{x ^{2} - 9} : - \infty < f (x) < \infty

Axis interception points of

\frac{2 x + 3}{x ^{2} - 9} :

X Intercepts

: (- \frac{3}{2}, 0),

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

\frac{2 x + 3}{x ^{2} - 9} :

Vertical

: x = - 3, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{2 x + 3}{x ^{2} - 9} :

None

Popular Examples

f(x)=(x+6)^{1/3}

f (x) = (x + 6)^{\frac{1}{3}}

f(x)=6x^3-19x^2+11x+6

f (x) = 6 x^{3} - 19 x^{2} + 11 x + 6

y=2sin^2(x)+cos^2(x)

y = 2 sin^{2} (x) + cos^{2} (x)

f(x)=(sqrt(x))/(1+\sqrt[3]{x)}

h(x)=sqrt(4-x)+sqrt(x^2-1)

h (x) = 4 - x + x^{2} - 1

Frequently Asked Questions (FAQ)

What is the r(x)=(2x+3)/(x^2-9) ?
The r(x)=(2x+3)/(x^2-9) is