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Popular >

f(x)=(x^2-x-12)/(x+6)

Solution

f (x) = \frac{x ^{2} - x - 12}{x + 6}

Solution

Domain : x < - 6 or x > - 6

Range : f (x) \leq - 230 - 13 or f (x) \geq 230 - 13

X Intercepts : (4, 0), (- 3, 0), Y Intercepts : (0, - 2)

Asymptotes : Vertical x = - 6, Slant y = x - 7

Extreme Points : Maximum (- 6 - 30, - \frac{60 + 13 30}{30}), Minimum (- 6 + 30, \frac{60 - 13 30}{30})

+1

Solution steps

Domain of

\frac{x ^{2} - x - 12}{x + 6} : x < - 6 or x > - 6

Range of

\frac{x ^{2} - x - 12}{x + 6} : f (x) \leq - 230 - 13 or f (x) \geq 230 - 13

Axis interception points of

\frac{x ^{2} - x - 12}{x + 6} :

X Intercepts

: (4, 0), (- 3, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

\frac{x ^{2} - x - 12}{x + 6} :

Vertical

: x = - 6,

Slant

: y = x - 7

Extreme Points of

\frac{x ^{2} - x - 12}{x + 6} :

Maximum

(- 6 - 30, - \frac{60 + 13 30}{30}),

Minimum

(- 6 + 30, \frac{60 - 13 30}{30})

Popular Examples

y = \frac{2 x - 5}{x - 3}

f(x)=x^2-12x+100

f (x) = x^{2} - 12 x + 100

y=(2-sqrt(x^{1/4)})/(4-x^{1/4)}

y = \frac{2 - x ^{\frac{1}{4}}}{4 - x ^{\frac{1}{4}}}

f(x)=(sin(x)+tan(x))/(cot(x)+csc(x))

f (x) = \frac{sin ( x ) + tan ( x )}{cot ( x ) + csc ( x )}

f (s) = s^{2} + s + 4

Frequently Asked Questions (FAQ)

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