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Popular >

f(x)=(x^2-81)/(x^2-11x+18)

Solution

f (x) = \frac{x ^{2} - 81}{x ^{2} - 11 x + 18}

Solution

Domain : x < 2 or 2 < x < 9 or x > 9

Range : f (x) < 1 or 1 < f (x) < \frac{18}{7} or f (x) > \frac{18}{7}

X Intercepts : (- 9, 0), Y Intercepts : (0, - \frac{9}{2})

Asymptotes : Vertical x = 2, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 2) \cup (2, 9) \cup (9, \infty)

Range : (- \infty, 1) \cup (1, \frac{18}{7}) \cup (\frac{18}{7}, \infty)

Solution steps

Domain of

\frac{x ^{2} - 81}{x ^{2} - 11 x + 18} : x < 2 or 2 < x < 9 or x > 9

Range of

\frac{x ^{2} - 81}{x ^{2} - 11 x + 18} : f (x) < 1 or 1 < f (x) < \frac{18}{7} or f (x) > \frac{18}{7}

Axis interception points of

\frac{x ^{2} - 81}{x ^{2} - 11 x + 18} :

X Intercepts

: (- 9, 0),

Y Intercepts

: (0, - \frac{9}{2})

Asymptotes of

\frac{x ^{2} - 81}{x ^{2} - 11 x + 18} :

Vertical

: x = 2,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 81}{x ^{2} - 11 x + 18} :

None

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Frequently Asked Questions (FAQ)

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