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Popular >

f(x)= x/7+7/x

Solution

f (x) = \frac{x}{7} + \frac{7}{x}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 2 or f (x) \geq 2

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = \frac{1}{7} x

Extreme Points : Maximum (- 7, - 2), Minimum (7, 2)

+1

Interval Notation

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

Range : (- \infty, - 2] \cup [2, \infty)

Solution steps

Domain of

\frac{x}{7} + \frac{7}{x} : x < 0 or x > 0

Range of

\frac{x}{7} + \frac{7}{x} : f (x) \leq - 2 or f (x) \geq 2

Axis interception points of

\frac{x}{7} + \frac{7}{x} :

None

Asymptotes of

\frac{x}{7} + \frac{7}{x} :

Vertical

: x = 0,

Slant

: y = \frac{1}{7} x

Extreme Points of

\frac{x}{7} + \frac{7}{x} :

Maximum

(- 7, - 2),

Minimum

(7, 2)

Popular Examples

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f (x) = x^{3} - 12 x^{2} + 35 x

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y = (x^{2} + 1) (x^{3} + 1)

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f (x) = sin (\frac{x}{2}), 0 \leq x \leq 4 π

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f (x) = \frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 8

Frequently Asked Questions (FAQ)

What is the f(x)= x/7+7/x ?
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