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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

Interval Notation

Domain : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, 2) \cup (2, \infty)

Range : (- \infty, - \frac{2}{5}] \cup [\frac{2}{5}, \infty)

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

domain of q(x)=4x^2+3x+2 domain

q (x) = 4 x^{2} + 3 x + 2

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

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

domain of f(x)=sqrt(4x^2+5)domain

f (x) = 4 x^{2} + 5

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

domain of f(n)=ln(1+n)domain

f (n) = ln (1 + n)

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