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Popular >

y=(x^2+1)/x

Solution

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

Extreme Points : Maximum (- 1, - 2), Minimum (1, 2)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x

Extreme Points of

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

Maximum

(- 1, - 2),

Minimum

(1, 2)

Popular Examples

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

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

f(t)=6e^{-5t}+e^{3t}+5t^3-9

f (t) = 6 e^{- 5 t} + e^{3 t} + 5 t^{3} - 9

f(x)=(x-2)/(x-3)

f (x) = \frac{x - 2}{x - 3}

f (x) = ∣ 2 x + 5 ∣

f(x)=arccos(5x)

f (x) = arccos (5 x)

Frequently Asked Questions (FAQ)

What is the y=(x^2+1)/x ?
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