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Popular >

f(x)=(x-6)/(x^2+12x+36)

Solution

f (x) = \frac{x - 6}{x ^{2} + 12 x + 36}

Solution

Domain : x < - 6 or x > - 6

Range : f (x) \leq \frac{1}{48}

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

Asymptotes : Vertical x = - 6, Horizontal y = 0

Extreme Points : Maximum (18, \frac{1}{48})

+1

Interval Notation

Domain : (- \infty, - 6) \cup (- 6, \infty)

Range : (- \infty, \frac{1}{48}]

Solution steps

Domain of

\frac{x - 6}{x ^{2} + 12 x + 36} : x < - 6 or x > - 6

Range of

\frac{x - 6}{x ^{2} + 12 x + 36} : f (x) \leq \frac{1}{48}

Axis interception points of

\frac{x - 6}{x ^{2} + 12 x + 36} :

X Intercepts

: (6, 0),

Y Intercepts

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

Asymptotes of

\frac{x - 6}{x ^{2} + 12 x + 36} :

Vertical

: x = - 6,

Horizontal

: y = 0

Extreme Points of

\frac{x - 6}{x ^{2} + 12 x + 36} :

Maximum

(18, \frac{1}{48})

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f (x) = - 1.5 x^{6} - 2 x^{4} + 12 x

Frequently Asked Questions (FAQ)

What is the f(x)=(x-6)/(x^2+12x+36) ?
The f(x)=(x-6)/(x^2+12x+36) is