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Popular >

f(x)=(4-sqrt(x))/(x-16)

Solution

f (x) = \frac{4 - x}{x - 16}

Solution

Domain : 0 \leq x < 16 or x > 16

Range : - \frac{1}{4} \leq f (x) < - \frac{1}{8} or - \frac{1}{8} < f (x) < 0

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : [0, 16) \cup (16, \infty)

Range : [- \frac{1}{4}, - \frac{1}{8}) \cup (- \frac{1}{8}, 0)

Solution steps

Domain of

\frac{4 - x}{x - 16} : 0 \leq x < 16 or x > 16

Range of

\frac{4 - x}{x - 16} : - \frac{1}{4} \leq f (x) < - \frac{1}{8} or - \frac{1}{8} < f (x) < 0

Axis interception points of

\frac{4 - x}{x - 16} :

Y Intercepts

: (0, - \frac{1}{4})

Asymptotes of

\frac{4 - x}{x - 16} :

Horizontal

: y = 0

Extreme Points of

\frac{4 - x}{x - 16} :

Minimum

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

Popular Examples

f(x)=x^2-12x+72

f (x) = x^{2} - 12 x + 72

y=(x-20)/(sqrt(x)+1)

y = \frac{x - 20}{x + 1}

g (x) = x - 6

f(x)=(x-7)/(x+5)

f (x) = \frac{x - 7}{x + 5}

f (n) = \frac{n}{3}

Frequently Asked Questions (FAQ)

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