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Popular >

f(x)=(sqrt(x^2+9)-5)/(x+4)

Solution

f (x) = \frac{x ^{2} + 9 - 5}{x + 4}

Solution

Domain : x < - 4 or x > - 4

Range : - 1 < f (x) < - \frac{4}{5} or - \frac{4}{5} < f (x) < 1

X Intercepts : (4, 0), Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Horizontal y = 1, y = - 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, \infty)

Range : (- 1, - \frac{4}{5}) \cup (- \frac{4}{5}, 1)

Solution steps

Domain of

\frac{x ^{2} + 9 - 5}{x + 4} : x < - 4 or x > - 4

Range of

\frac{x ^{2} + 9 - 5}{x + 4} : - 1 < f (x) < - \frac{4}{5} or - \frac{4}{5} < f (x) < 1

Axis interception points of

\frac{x ^{2} + 9 - 5}{x + 4} :

X Intercepts

: (4, 0),

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

\frac{x ^{2} + 9 - 5}{x + 4} :

Horizontal

: y = 1, y = - 1

Extreme Points of

\frac{x ^{2} + 9 - 5}{x + 4} :

None

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Frequently Asked Questions (FAQ)

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