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Popular Functions >

f(x)=(x^2+x-2)/(x+3)

Solution

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

Solution

Domain : x < - 3 or x > - 3

Range : f (x) \leq - 9 or f (x) \geq - 1

X Intercepts : (1, 0), (- 2, 0), Y Intercepts : (0, - \frac{2}{3})

Asymptotes : Vertical x = - 3, Slant y = x - 2

Extreme Points : Maximum (- 5, - 9), Minimum (- 1, - 1)

+1

Interval Notation

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

Range : (- \infty, - 9] \cup [- 1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + x - 2}{x + 3} : f (x) \leq - 9 or f (x) \geq - 1

Axis interception points of

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

X Intercepts

: (1, 0), (- 2, 0),

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 3,

Slant

: y = x - 2

Extreme Points of

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

Maximum

(- 5, - 9),

Minimum

(- 1, - 1)

Graph

Popular Examples

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f(k)=3^{k+1}-1+3^k

parity f(x)=sqrt(cos(x))*cos(300x)+sqrt(|x|)-0.3*(4-x^2)^{0.01}

Frequently Asked Questions (FAQ)

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