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Popular >

f(x)=(sqrt(x+2))/(x^2-9)

Solution

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

Solution

Domain : - 2 \leq x < 3 or x > 3

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

X Intercepts : (- 2, 0), Y Intercepts : (0, - \frac{2}{9})

Asymptotes : Vertical x = 3, Horizontal y = 0

Extreme Points : Maximum (- 2, 0)

+1

Interval Notation

Domain : [- 2, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, - \frac{2}{9})

Asymptotes of

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

Vertical

: x = 3,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 2, 0)

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Frequently Asked Questions (FAQ)

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