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Popular >

y=((x^2+1))/((2x^2-3x-2))

Solution

y = \frac{( x ^{2} + 1 )}{( 2 x ^{2} - 3 x - 2 )}

Solution

Domain : x < - \frac{1}{2} or - \frac{1}{2} < x < 2 or x > 2

Range : f (x) \leq - \frac{2}{5} or f (x) \geq \frac{2}{5}

Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Vertical x = - \frac{1}{2}, x = 2, Horizontal y = \frac{1}{2}

Extreme Points : Minimum (- 3, \frac{2}{5}), Maximum (\frac{1}{3}, - \frac{2}{5})

+1

Solution steps

Domain of

\frac{x ^{2} + 1}{2 x ^{2} - 3 x - 2} : x < - \frac{1}{2} or - \frac{1}{2} < x < 2 or x > 2

Range of

\frac{x ^{2} + 1}{2 x ^{2} - 3 x - 2} : f (x) \leq - \frac{2}{5} or f (x) \geq \frac{2}{5}

Axis interception points of

\frac{x ^{2} + 1}{2 x ^{2} - 3 x - 2} :

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

\frac{x ^{2} + 1}{2 x ^{2} - 3 x - 2} :

Vertical

: x = - \frac{1}{2}, x = 2,

Horizontal

: y = \frac{1}{2}

Extreme Points of

\frac{x ^{2} + 1}{2 x ^{2} - 3 x - 2} :

Minimum

(- 3, \frac{2}{5}),

Maximum

(\frac{1}{3}, - \frac{2}{5})

Popular Examples

f(x)=25x^2+30x+91

f (x) = 25 x^{2} + 30 x + 91

f (x) = 2 x^{2} - 4 + 1

y = (x + 2) e^{1} x

f(x)=|x+2|-|x-2|+2x-1

f (x) = ∣ x + 2 ∣ - ∣ x - 2 ∣ + 2 x - 1

y=sqrt((1+x)^2)

y = (1 + x)^{2}

Frequently Asked Questions (FAQ)

What is the y=((x^2+1))/((2x^2-3x-2)) ?
The y=((x^2+1))/((2x^2-3x-2)) is