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Popular >

f(x)=x+9/x

Solution

f (x) = x + \frac{9}{x}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 6 or f (x) \geq 6

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x

Extreme Points : Maximum (- 3, - 6), Minimum (3, 6)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - 6] \cup [6, \infty)

Solution steps

Domain of

x + \frac{9}{x} : x < 0 or x > 0

Range of

x + \frac{9}{x} : f (x) \leq - 6 or f (x) \geq 6

Axis interception points of

x + \frac{9}{x} :

None

Asymptotes of

x + \frac{9}{x} :

Vertical

: x = 0,

Slant

: y = x

Extreme Points of

x + \frac{9}{x} :

Maximum

(- 3, - 6),

Minimum

(3, 6)

Popular Examples

f(x)=sqrt(3x-9)

f (x) = 3 x - 9

y = x + \frac{4}{x}

f (x) = x^{2} - 10 x + 8

f (x) = 7 + x

f(x)=sqrt(cos(2x))

f (x) = cos (2 x)

Frequently Asked Questions (FAQ)

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