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

The f(x)=sqrt((x^2+x+1)/(x^2+x)) is

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

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

Domain : x < - 1 or x > 0

Intercepts : None

Asymptotes : Horizontal y = 1

Extreme Points : None

Interval Notation

Domain : (- \infty, - 1) \cup (0, \infty)

Solution steps

Domain of

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

Axis interception points of

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

None

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

None

f (x) = 3 x^{2} - 18 x + 23

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

f (θ) = cos (θ) + cos (3 θ)

f (x) = 2 ∣ 3 x + 4 ∣ - 4

f (x) = (x + 9)^{\frac{1}{4}}