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Popular Calculus >

f(x)=(sqrt(x+1))/(x^2-5)

Solution

f (x) = \frac{x + 1}{x ^{2} - 5}

Solution

Domain : - 1 \leq x < 5 or x > 5

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

X Intercepts : (- 1, 0), Y Intercepts : (0, - \frac{1}{5})

Asymptotes : Vertical x = 5, Horizontal y = 0

Extreme Points : Maximum (- 1, 0)

+1

Interval Notation

Domain : [- 1, 5) \cup (5, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x + 1}{x ^{2} - 5} : - 1 \leq x < 5 or x > 5

Range of

\frac{x + 1}{x ^{2} - 5} : - \infty < f (x) < \infty

Axis interception points of

\frac{x + 1}{x ^{2} - 5} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - \frac{1}{5})

Asymptotes of

\frac{x + 1}{x ^{2} - 5} :

Vertical

: x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{x + 1}{x ^{2} - 5} :

Maximum

(- 1, 0)

Graph

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Frequently Asked Questions (FAQ)

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