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Popular >

f(x)=(x-sqrt(x+2))/(x-2)

Solution

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

Solution

Domain : - 2 \leq x < 2 or x > 2

Range : \frac{1}{2} \leq f (x) < \frac{3}{4} or \frac{3}{4} < f (x) < 1

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

Asymptotes : Horizontal y = 1

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

+1

Interval Notation

Domain : [- 2, 2) \cup (2, \infty)

Range : [\frac{1}{2}, \frac{3}{4}) \cup (\frac{3}{4}, 1)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{x - x + 2}{x - 2} :

Y Intercepts

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

Asymptotes of

\frac{x - x + 2}{x - 2} :

Horizontal

: y = 1

Extreme Points of

\frac{x - x + 2}{x - 2} :

Minimum

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

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Frequently Asked Questions (FAQ)

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