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Popular >

y=(2x^2+7x+6)/(3x^2+10x-8)

Solution

y = \frac{2 x ^{2} + 7 x + 6}{3 x ^{2} + 10 x - 8}

Solution

Domain : x < - 4 or - 4 < x < \frac{2}{3} or x > \frac{2}{3}

Range : f (x) \leq - \frac{2 65}{49} + \frac{33}{98} or f (x) \geq \frac{2 65}{49} + \frac{33}{98}

X Intercepts : (- \frac{3}{2}, 0), (- 2, 0), Y Intercepts : (0, - \frac{3}{4})

Asymptotes : Vertical x = - 4, x = \frac{2}{3}, Horizontal y = \frac{2}{3}

Extreme Points : Minimum (- 2 (17 + 265), \frac{33 + 4 65}{98}), Maximum (- 2 (17 - 265), \frac{33 - 4 65}{98})

+1

Solution steps

Domain of

\frac{2 x ^{2} + 7 x + 6}{3 x ^{2} + 10 x - 8} : x < - 4 or - 4 < x < \frac{2}{3} or x > \frac{2}{3}

Range of

\frac{2 x ^{2} + 7 x + 6}{3 x ^{2} + 10 x - 8} : f (x) \leq - \frac{2 65}{49} + \frac{33}{98} or f (x) \geq \frac{2 65}{49} + \frac{33}{98}

Axis interception points of

\frac{2 x ^{2} + 7 x + 6}{3 x ^{2} + 10 x - 8} :

X Intercepts

: (- \frac{3}{2}, 0), (- 2, 0),

Y Intercepts

: (0, - \frac{3}{4})

Asymptotes of

\frac{2 x ^{2} + 7 x + 6}{3 x ^{2} + 10 x - 8} :

Vertical

: x = - 4, x = \frac{2}{3},

Horizontal

: y = \frac{2}{3}

Extreme Points of

\frac{2 x ^{2} + 7 x + 6}{3 x ^{2} + 10 x - 8} :

Minimum

(- 2 (17 + 265), \frac{33 + 4 65}{98}),

Maximum

(- 2 (17 - 265), \frac{33 - 4 65}{98})

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Frequently Asked Questions (FAQ)

What is the y=(2x^2+7x+6)/(3x^2+10x-8) ?
The y=(2x^2+7x+6)/(3x^2+10x-8) is