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Popular >

f(x)=(sqrt(x+4))/(x-4)

Solution

f (x) = \frac{x + 4}{x - 4}

Solution

Domain : - 4 \leq x < 4 or x > 4

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

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

Asymptotes : Vertical x = 4, Horizontal y = 0

Extreme Points : Maximum (- 4, 0)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x + 4}{x - 4} : - 4 \leq x < 4 or x > 4

Range of

\frac{x + 4}{x - 4} : - \infty < f (x) < \infty

Axis interception points of

\frac{x + 4}{x - 4} :

X Intercepts

: (- 4, 0),

Y Intercepts

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

Asymptotes of

\frac{x + 4}{x - 4} :

Vertical

: x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{x + 4}{x - 4} :

Maximum

(- 4, 0)

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Frequently Asked Questions (FAQ)

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