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Popular >

f(x)=(x+6)/(x^2-9x+18)

Solution

f (x) = \frac{x + 6}{x ^{2} - 9 x + 18}

Solution

Domain : x < 3 or 3 < x < 6 or x > 6

Range : f (x) \leq - \frac{4}{3} - \frac{7}{3} or f (x) \geq \frac{4}{3} - \frac{7}{3}

X Intercepts : (- 6, 0), Y Intercepts : (0, \frac{1}{3})

Asymptotes : Vertical x = 3, x = 6, Horizontal y = 0

Extreme Points : Minimum (- 6 (1 + 3), - \frac{7 - 4 3}{3}), Maximum (6 (3 - 1), - \frac{4 3 + 7}{3})

+1

Interval Notation

Domain : (- \infty, 3) \cup (3, 6) \cup (6, \infty)

Range : (- \infty, - \frac{4}{3} - \frac{7}{3}] \cup [\frac{4}{3} - \frac{7}{3}, \infty)

Solution steps

Domain of

\frac{x + 6}{x ^{2} - 9 x + 18} : x < 3 or 3 < x < 6 or x > 6

Range of

\frac{x + 6}{x ^{2} - 9 x + 18} : f (x) \leq - \frac{4}{3} - \frac{7}{3} or f (x) \geq \frac{4}{3} - \frac{7}{3}

Axis interception points of

\frac{x + 6}{x ^{2} - 9 x + 18} :

X Intercepts

: (- 6, 0),

Y Intercepts

: (0, \frac{1}{3})

Asymptotes of

\frac{x + 6}{x ^{2} - 9 x + 18} :

Vertical

: x = 3, x = 6,

Horizontal

: y = 0

Extreme Points of

\frac{x + 6}{x ^{2} - 9 x + 18} :

Minimum

(- 6 (1 + 3), - \frac{7 - 4 3}{3}),

Maximum

(6 (3 - 1), - \frac{4 3 + 7}{3})

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Frequently Asked Questions (FAQ)

What is the f(x)=(x+6)/(x^2-9x+18) ?
The f(x)=(x+6)/(x^2-9x+18) is