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Popular >

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

Solution

f (x) = \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 (t) = \frac{t ^{2}}{2}

y = 2 x^{2} - 16 x + 24

f(x)=3(x-2)^2+1

f (x) = 3 (x - 2)^{2} + 1

f (x) = sin (3 x) + 2

y = \frac{4}{3} x + 1

Frequently Asked Questions (FAQ)

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