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Popular Functions >

g(x)=(2x^2+7x+3)/(x^2+5x+6)

Solution

g (x) = \frac{2 x ^{2} + 7 x + 3}{x ^{2} + 5 x + 6}

Solution

Domain : x < - 3 or - 3 < x < - 2 or x > - 2

Range : f (x) < 2 or 2 < f (x) < 5 or f (x) > 5

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

Asymptotes : Vertical x = - 2, Horizontal y = 2

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, - 2) \cup (- 2, \infty)

Range : (- \infty, 2) \cup (2, 5) \cup (5, \infty)

Solution steps

Domain of

\frac{2 x ^{2} + 7 x + 3}{x ^{2} + 5 x + 6} : x < - 3 or - 3 < x < - 2 or x > - 2

Range of

\frac{2 x ^{2} + 7 x + 3}{x ^{2} + 5 x + 6} : f (x) < 2 or 2 < f (x) < 5 or f (x) > 5

Axis interception points of

\frac{2 x ^{2} + 7 x + 3}{x ^{2} + 5 x + 6} :

X Intercepts

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

Y Intercepts

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

Asymptotes of

\frac{2 x ^{2} + 7 x + 3}{x ^{2} + 5 x + 6} :

Vertical

: x = - 2,

Horizontal

: y = 2

Extreme Points of

\frac{2 x ^{2} + 7 x + 3}{x ^{2} + 5 x + 6} :

None

Graph

Popular Examples

f(x)=ln(x/(2-x))

domain of 5/((x-1)(x-4)),x\ne 1

f(x)=-0.03x^{1/2}-8/(x^{1/2)}

f(s)=(s^2+2s+3)/(s^4+4s^3+11s^2+14s+10)

Frequently Asked Questions (FAQ)

What is the g(x)=(2x^2+7x+3)/(x^2+5x+6) ?
The g(x)=(2x^2+7x+3)/(x^2+5x+6) is