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Popular >

f(x)=(sqrt(x)-8)/(x-64)

Solution

f (x) = \frac{x - 8}{x - 64}

Solution

Domain : 0 \leq x < 64 or x > 64

Range : 0 < f (x) < \frac{1}{16} or \frac{1}{16} < f (x) \leq \frac{1}{8}

Y Intercepts : (0, \frac{1}{8})

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (0, \frac{1}{8})

+1

Interval Notation

Domain : [0, 64) \cup (64, \infty)

Range : (0, \frac{1}{16}) \cup (\frac{1}{16}, \frac{1}{8}]

Solution steps

Domain of

\frac{x - 8}{x - 64} : 0 \leq x < 64 or x > 64

Range of

\frac{x - 8}{x - 64} : 0 < f (x) < \frac{1}{16} or \frac{1}{16} < f (x) \leq \frac{1}{8}

Axis interception points of

\frac{x - 8}{x - 64} :

Y Intercepts

: (0, \frac{1}{8})

Asymptotes of

\frac{x - 8}{x - 64} :

Horizontal

: y = 0

Extreme Points of

\frac{x - 8}{x - 64} :

Maximum

(0, \frac{1}{8})

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