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Popular >

f(x)=(x-5)/(x^2-8x+16)

Solution

f (x) = \frac{x - 5}{x ^{2} - 8 x + 16}

Solution

Domain : x < 4 or x > 4

Range : f (x) \leq \frac{1}{4}

X Intercepts : (5, 0), Y Intercepts : (0, - \frac{5}{16})

Asymptotes : Vertical x = 4, Horizontal y = 0

Extreme Points : Maximum (6, \frac{1}{4})

+1

Interval Notation

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

Range : (- \infty, \frac{1}{4}]

Solution steps

Domain of

\frac{x - 5}{x ^{2} - 8 x + 16} : x < 4 or x > 4

Range of

\frac{x - 5}{x ^{2} - 8 x + 16} : f (x) \leq \frac{1}{4}

Axis interception points of

\frac{x - 5}{x ^{2} - 8 x + 16} :

X Intercepts

: (5, 0),

Y Intercepts

: (0, - \frac{5}{16})

Asymptotes of

\frac{x - 5}{x ^{2} - 8 x + 16} :

Vertical

: x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{x - 5}{x ^{2} - 8 x + 16} :

Maximum

(6, \frac{1}{4})

Popular Examples

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f(x)=(x-3)sqrt(2x)

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f (x) = 121 - x^{2}

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Frequently Asked Questions (FAQ)

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