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Popular >

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

Solution

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

Solution

Domain : x < - \frac{- 1 + 5}{2} or - \frac{- 1 + 5}{2} < x < \frac{1 + 5}{2} or x > \frac{1 + 5}{2}

Range : f (x) < - 1 or f (x) \geq \frac{3}{5}

Y Intercepts : (0, 1)

Asymptotes : Vertical x = - \frac{- 1 + 5}{2}, x = \frac{1 + 5}{2}, Horizontal y = - 1

Extreme Points : Minimum (\frac{1}{2}, \frac{3}{5})

+1

Interval Notation

Domain : (- \infty, - \frac{- 1 + 5}{2}) \cup (- \frac{- 1 + 5}{2}, \frac{1 + 5}{2}) \cup (\frac{1 + 5}{2}, \infty)

Range : (- \infty, - 1) \cup [\frac{3}{5}, \infty)

Solution steps

Domain of

\frac{1 - x + x ^{2}}{1 + x - x ^{2}} : x < - \frac{- 1 + 5}{2} or - \frac{- 1 + 5}{2} < x < \frac{1 + 5}{2} or x > \frac{1 + 5}{2}

Range of

\frac{1 - x + x ^{2}}{1 + x - x ^{2}} : f (x) < - 1 or f (x) \geq \frac{3}{5}

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = - \frac{- 1 + 5}{2}, x = \frac{1 + 5}{2},

Horizontal

: y = - 1

Extreme Points of

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

Minimum

(\frac{1}{2}, \frac{3}{5})

Popular Examples

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Frequently Asked Questions (FAQ)

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