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Popular Functions >

f(x)=((x-2)(x+3))/(x+5)

Solution

f (x) = \frac{( x - 2 ) ( x + 3 )}{x + 5}

Solution

Domain : x < - 5 or x > - 5

Range : f (x) \leq - 214 - 9 or f (x) \geq 214 - 9

X Intercepts : (2, 0), (- 3, 0), Y Intercepts : (0, - \frac{6}{5})

Asymptotes : Vertical x = - 5, Slant y = x - 4

Extreme Points : Maximum (- 5 - 14, - \frac{28 + 9 14}{14}), Minimum (- 5 + 14, \frac{28 - 9 14}{14})

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, \infty)

Range : (- \infty, - 214 - 9] \cup [214 - 9, \infty)

Solution steps

Domain of

\frac{( x - 2 ) ( x + 3 )}{x + 5} : x < - 5 or x > - 5

Range of

\frac{( x - 2 ) ( x + 3 )}{x + 5} : f (x) \leq - 214 - 9 or f (x) \geq 214 - 9

Axis interception points of

\frac{( x - 2 ) ( x + 3 )}{x + 5} :

X Intercepts

: (2, 0), (- 3, 0),

Y Intercepts

: (0, - \frac{6}{5})

Asymptotes of

\frac{( x - 2 ) ( x + 3 )}{x + 5} :

Vertical

: x = - 5,

Slant

: y = x - 4

Extreme Points of

\frac{( x - 2 ) ( x + 3 )}{x + 5} :

Maximum

(- 5 - 14, - \frac{28 + 9 14}{14}),

Minimum

(- 5 + 14, \frac{28 - 9 14}{14})

Graph

Popular Examples

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f(x)=(1/2 x^2-3x)*(2/3 x^3+x)

Frequently Asked Questions (FAQ)

What is the f(x)=((x-2)(x+3))/(x+5) ?
The f(x)=((x-2)(x+3))/(x+5) is