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Popular >

f(x)=((x+1))/((x^2+2x-3))

Solution

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

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (- 1, 0), Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = - 3, x = 1, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

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

Vertical

: x = - 3, x = 1,

Horizontal

: y = 0

Extreme Points of

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

None

Popular Examples

f(x)=-0.2x^3+3x^2+10x-6

f (x) = - 0.2 x^{3} + 3 x^{2} + 10 x - 6

f(x)=(x+6)/(x^2+9)

f (x) = \frac{x + 6}{x ^{2} + 9}

f(x)=(101)/(4+40e^{-0.25x)}

f (x) = \frac{101}{4 + 40 e ^{- 0.25 x}}

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

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

f(x)=(7x)/(x-2)

f (x) = \frac{7 x}{x - 2}

Frequently Asked Questions (FAQ)

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