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Popular >

f(x)=(3x^2+9)/(2x^2-16)

Solution

f (x) = \frac{3 x ^{2} + 9}{2 x ^{2} - 16}

Solution

Domain : x < - 22 or - 22 < x < 22 or x > 22

Range : f (x) \leq - \frac{9}{16} or f (x) > \frac{3}{2}

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

Asymptotes : Vertical x = - 22, x = 22, Horizontal y = \frac{3}{2}

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

+1

Interval Notation

Domain : (- \infty, - 22) \cup (- 22, 22) \cup (22, \infty)

Range : (- \infty, - \frac{9}{16}] \cup (\frac{3}{2}, \infty)

Solution steps

Domain of

\frac{3 x ^{2} + 9}{2 x ^{2} - 16} : x < - 22 or - 22 < x < 22 or x > 22

Range of

\frac{3 x ^{2} + 9}{2 x ^{2} - 16} : f (x) \leq - \frac{9}{16} or f (x) > \frac{3}{2}

Axis interception points of

\frac{3 x ^{2} + 9}{2 x ^{2} - 16} :

Y Intercepts

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

Asymptotes of

\frac{3 x ^{2} + 9}{2 x ^{2} - 16} :

Vertical

: x = - 22, x = 22,

Horizontal

: y = \frac{3}{2}

Extreme Points of

\frac{3 x ^{2} + 9}{2 x ^{2} - 16} :

Maximum

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

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Frequently Asked Questions (FAQ)

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