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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : \frac{3}{4} \leq f (x) < 1 or f (x) > 1

Intercepts : None

Asymptotes : Vertical x = 0, Horizontal y = 1

Extreme Points : Minimum (- 2, \frac{3}{4})

+1

Interval Notation

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

Range : [\frac{3}{4}, 1) \cup (1, \infty)

Solution steps

Domain of

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

Range of

1 + \frac{1}{x} + \frac{1}{x ^{2}} : \frac{3}{4} \leq f (x) < 1 or f (x) > 1

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 1

Extreme Points of

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

Minimum

(- 2, \frac{3}{4})

Popular Examples

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

y=log_{10}(x)-2

y = lo g_{10} (x) - 2

y=(5)(30-1.5x)(12+2x)

y = (5) (30 - 1.5 x) (12 + 2 x)

f (s) = arctan (s)

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

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

Frequently Asked Questions (FAQ)

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