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Popular >

f(x)=(x^2-9)/(x^2-16)

Solution

f (x) = \frac{x ^{2} - 9}{x ^{2} - 16}

Solution

Domain : x < - 4 or - 4 < x < 4 or x > 4

Range : f (x) \leq \frac{9}{16} or f (x) > 1

X Intercepts : (3, 0), (- 3, 0), Y Intercepts : (0, \frac{9}{16})

Asymptotes : Vertical x = - 4, x = 4, Horizontal y = 1

Extreme Points : Maximum (0, \frac{9}{16})

+1

Solution steps

Domain of

\frac{x ^{2} - 9}{x ^{2} - 16} : x < - 4 or - 4 < x < 4 or x > 4

Range of

\frac{x ^{2} - 9}{x ^{2} - 16} : f (x) \leq \frac{9}{16} or f (x) > 1

Axis interception points of

\frac{x ^{2} - 9}{x ^{2} - 16} :

X Intercepts

: (3, 0), (- 3, 0),

Y Intercepts

: (0, \frac{9}{16})

Asymptotes of

\frac{x ^{2} - 9}{x ^{2} - 16} :

Vertical

: x = - 4, x = 4,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 9}{x ^{2} - 16} :

Maximum

(0, \frac{9}{16})

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Frequently Asked Questions (FAQ)

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