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Popular >

y= 1/x+x

Solution

y = \frac{1}{x} + 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{1}{x} + x : x < 0 or x > 0

Range of

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

Axis interception points of

\frac{1}{x} + x :

None

Asymptotes of

\frac{1}{x} + x :

Vertical

: x = 0,

Slant

: y = x

Extreme Points of

\frac{1}{x} + x :

Maximum

(- 1, - 2),

Minimum

(1, 2)

Popular Examples

f(x)=x^4-10x^3+25x^2

f (x) = x^{4} - 10 x^{3} + 25 x^{2}

f(x)=-2sin(x+pi/2)+1

f (x) = - 2 sin (x + \frac{π}{2}) + 1

f(x)=12+2x^2-x^4

f (x) = 12 + 2 x^{2} - x^{4}

f(x)=(sin(4x))/2

f (x) = \frac{sin ( 4 x )}{2}

f(x)=x^4+4x^3-6x^2-4x+5

f (x) = x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5

Frequently Asked Questions (FAQ)

What is the y= 1/x+x ?
The y= 1/x+x is