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Popular >

f(x)= 1/((x-3)sqrt(x+3))

Solution

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

Solution

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

Range : f (x) \leq - \frac{1}{4 2} or f (x) > 0

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

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

Extreme Points : Maximum (- 1, - \frac{1}{4 2})

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{4 2}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{( x - 3 ) x + 3} : - 3 < x < 3 or x > 3

Range of

\frac{1}{( x - 3 ) x + 3} : f (x) \leq - \frac{1}{4 2} or f (x) > 0

Axis interception points of

\frac{1}{( x - 3 ) x + 3} :

Y Intercepts

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

Asymptotes of

\frac{1}{( x - 3 ) x + 3} :

Vertical

: x = - 3, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{1}{( x - 3 ) x + 3} :

Maximum

(- 1, - \frac{1}{4 2})

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Frequently Asked Questions (FAQ)

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