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Popular >

f(x)=(sqrt(x+5))/(x+6)

Solution

f (x) = \frac{x + 5}{x + 6}

Solution

Domain : x \geq - 5

Range : 0 \leq f (x) \leq \frac{1}{2}

X Intercepts : (- 5, 0), Y Intercepts : (0, \frac{5}{6})

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 5, 0), Maximum (- 4, \frac{1}{2})

+1

Interval Notation

Domain : [- 5, \infty)

Range : [0, \frac{1}{2}]

Solution steps

Domain of

\frac{x + 5}{x + 6} : x \geq - 5

Range of

\frac{x + 5}{x + 6} : 0 \leq f (x) \leq \frac{1}{2}

Axis interception points of

\frac{x + 5}{x + 6} :

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, \frac{5}{6})

Asymptotes of

\frac{x + 5}{x + 6} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 5}{x + 6} :

Minimum

(- 5, 0),

Maximum

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

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Frequently Asked Questions (FAQ)

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