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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : \frac{2}{3} \leq f (x) \leq 2

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (- 1, \frac{2}{3}), Maximum (1, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{2}{3}, 2]

Solution steps

Domain of

\frac{x ^{2} + 1}{x ^{2} - x + 1} : - \infty < x < \infty

Range of

\frac{x ^{2} + 1}{x ^{2} - x + 1} : \frac{2}{3} \leq f (x) \leq 2

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

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

Maximum

(1, 2)

Popular Examples

f(x)= 1/((e^x-1))

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

f(x)=e^{1/(x^3)}

f (x) = e^{\frac{1}{x ^{3}}}

f(x)=x^2cos(x^4)

f (x) = x^{2} cos (x^{4})

f(j)=(1+j)^{1/2}

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

f(x)=(-x+2)^{32}

f (x) = (- x + 2)^{32}

Frequently Asked Questions (FAQ)

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