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Popular >

f(x)=(2-sqrt(x-2))/(x^2-36)

Solution

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

Solution

Domain : 2 \leq x < 6 or x > 6

Range : - \frac{1}{16} \leq f (x) < - \frac{1}{48} or - \frac{1}{48} < f (x) < 0

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (2, - \frac{1}{16})

+1

Interval Notation

Domain : [2, 6) \cup (6, \infty)

Range : [- \frac{1}{16}, - \frac{1}{48}) \cup (- \frac{1}{48}, 0)

Solution steps

Domain of

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

Range of

\frac{2 - x - 2}{x ^{2} - 36} : - \frac{1}{16} \leq f (x) < - \frac{1}{48} or - \frac{1}{48} < f (x) < 0

Axis interception points of

\frac{2 - x - 2}{x ^{2} - 36} :

None

Asymptotes of

\frac{2 - x - 2}{x ^{2} - 36} :

Horizontal

: y = 0

Extreme Points of

\frac{2 - x - 2}{x ^{2} - 36} :

Minimum

(2, - \frac{1}{16})

Popular Examples

f(x)=(3x^3-4x^2-108x+139)/(x^2-36)

f (x) = \frac{3 x ^{3} - 4 x ^{2} - 108 x + 139}{x ^{2} - 36}

h(x)=sqrt((2-x)/(5-x))

h (x) = \frac{2 - x}{5 - x}

f(x)=0.4x^2+2.7x+1

f (x) = 0.4 x^{2} + 2.7 x + 1

f(x)=(3x^4)(4x^3+4x)

f (x) = (3 x^{4}) (4 x^{3} + 4 x)

f(x)=2x^3+4x^2+3x-5

f (x) = 2 x^{3} + 4 x^{2} + 3 x - 5

Frequently Asked Questions (FAQ)

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