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Popular >

f(x)=(x+6)/(x^2+9)

Solution

f (x) = \frac{x + 6}{x ^{2} + 9}

Solution

Domain : - \infty < x < \infty

Range : - \frac{5}{6} + \frac{1}{3} \leq f (x) \leq \frac{5}{6} + \frac{1}{3}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 3 (2 + 5), - \frac{5 - 2}{6}), Maximum (3 (5 - 2), \frac{5 + 2}{6})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{5}{6} + \frac{1}{3}, \frac{5}{6} + \frac{1}{3}]

Solution steps

Domain of

\frac{x + 6}{x ^{2} + 9} : - \infty < x < \infty

Range of

\frac{x + 6}{x ^{2} + 9} : - \frac{5}{6} + \frac{1}{3} \leq f (x) \leq \frac{5}{6} + \frac{1}{3}

Axis interception points of

\frac{x + 6}{x ^{2} + 9} :

X Intercepts

: (- 6, 0),

Y Intercepts

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

Asymptotes of

\frac{x + 6}{x ^{2} + 9} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 6}{x ^{2} + 9} :

Minimum

(- 3 (2 + 5), - \frac{5 - 2}{6}),

Maximum

(3 (5 - 2), \frac{5 + 2}{6})

Popular Examples

f(x)=(101)/(4+40e^{-0.25x)}

f (x) = \frac{101}{4 + 40 e ^{- 0.25 x}}

y=((x+1)/(x-1))^2

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

f(x)=(7x)/(x-2)

f (x) = \frac{7 x}{x - 2}

f(x)={x^2:x<1,-x^3:x>= 1}

f (x) = {x^{2} : x < 1, - x^{3} : x \geq 1}

y=(x^3+1)/(x^2+2)

y = \frac{x ^{3} + 1}{x ^{2} + 2}

Frequently Asked Questions (FAQ)

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