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Popular >

f(x)=(x^2+e^x)/(x^2-x-6)

Solution

f (x) = \frac{x ^{2} + e ^{x}}{x ^{2} - x - 6}

Solution

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

Y Intercepts : (0, - \frac{1}{6})

Asymptotes : Vertical x = - 2, x = 3, Horizontal y = 1

+1

Interval Notation

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

Solution steps

Domain of

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

Axis interception points of

\frac{x ^{2} + e ^{x}}{x ^{2} - x - 6} :

Y Intercepts

: (0, - \frac{1}{6})

Asymptotes of

\frac{x ^{2} + e ^{x}}{x ^{2} - x - 6} :

Vertical

: x = - 2, x = 3,

Horizontal

: y = 1

Popular Examples

f (x) = 7 x^{2} - x + 1

f (t) = e^{\frac{1}{5} t}

f(t)={t:0<t< 1/2 , 1/2 : 1/2 <t<1}

f (t) = {t : 0 < t < \frac{1}{2}, \frac{1}{2} : \frac{1}{2} < t < 1}

f(x)=ln((x^2+1)/(x^2-1))

f (x) = ln (\frac{x ^{2} + 1}{x ^{2} - 1})

f (x) = 5 x^{2} + 7 x - 9

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+e^x)/(x^2-x-6) ?
The f(x)=(x^2+e^x)/(x^2-x-6) is