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Popular >

f(x)=(2x-2)/(x^2+2x-3)

Solution

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

Solution

Domain : x < - 3 or - 3 < x < 1 or x > 1

Range : f (x) < 0 or 0 < f (x) < \frac{1}{2} or f (x) > \frac{1}{2}

Y Intercepts : (0, \frac{2}{3})

Asymptotes : Vertical x = - 3, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 1) \cup (1, \infty)

Range : (- \infty, 0) \cup (0, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Domain of

\frac{2 x - 2}{x ^{2} + 2 x - 3} : x < - 3 or - 3 < x < 1 or x > 1

Range of

\frac{2 x - 2}{x ^{2} + 2 x - 3} : f (x) < 0 or 0 < f (x) < \frac{1}{2} or f (x) > \frac{1}{2}

Axis interception points of

\frac{2 x - 2}{x ^{2} + 2 x - 3} :

Y Intercepts

: (0, \frac{2}{3})

Asymptotes of

\frac{2 x - 2}{x ^{2} + 2 x - 3} :

Vertical

: x = - 3,

Horizontal

: y = 0

Extreme Points of

\frac{2 x - 2}{x ^{2} + 2 x - 3} :

None

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Frequently Asked Questions (FAQ)

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