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Popular >

f(x)=(sqrt(x)-7)/(x-49)

Solution

f (x) = \frac{x - 7}{x - 49}

Solution

Domain : 0 \leq x < 49 or x > 49

Range : 0 < f (x) < \frac{1}{14} or \frac{1}{14} < f (x) \leq \frac{1}{7}

Y Intercepts : (0, \frac{1}{7})

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (0, \frac{1}{7})

+1

Interval Notation

Domain : [0, 49) \cup (49, \infty)

Range : (0, \frac{1}{14}) \cup (\frac{1}{14}, \frac{1}{7}]

Solution steps

Domain of

\frac{x - 7}{x - 49} : 0 \leq x < 49 or x > 49

Range of

\frac{x - 7}{x - 49} : 0 < f (x) < \frac{1}{14} or \frac{1}{14} < f (x) \leq \frac{1}{7}

Axis interception points of

\frac{x - 7}{x - 49} :

Y Intercepts

: (0, \frac{1}{7})

Asymptotes of

\frac{x - 7}{x - 49} :

Horizontal

: y = 0

Extreme Points of

\frac{x - 7}{x - 49} :

Maximum

(0, \frac{1}{7})

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Frequently Asked Questions (FAQ)

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