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Popular >

f(x)=(x^2+1)/(2x)

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 1 or f (x) \geq 1

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = \frac{1}{2} x

Extreme Points : Maximum (- 1, - 1), Minimum (1, 1)

+1

Interval Notation

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

Range : (- \infty, - 1] \cup [1, \infty)

Solution steps

Domain of

\frac{x ^{2} + 1}{2 x} : x < 0 or x > 0

Range of

\frac{x ^{2} + 1}{2 x} : f (x) \leq - 1 or f (x) \geq 1

Axis interception points of

\frac{x ^{2} + 1}{2 x} :

None

Asymptotes of

\frac{x ^{2} + 1}{2 x} :

Vertical

: x = 0,

Slant

: y = \frac{1}{2} x

Extreme Points of

\frac{x ^{2} + 1}{2 x} :

Maximum

(- 1, - 1),

Minimum

(1, 1)

Popular Examples

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f (x) = 3 sinh (3 ln (x))

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f(x)=6x(5x-3)(x+2)

f (x) = 6 x (5 x - 3) (x + 2)

Frequently Asked Questions (FAQ)

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