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Popular >

y=(2x+5)/(x^2+2x-3)

Solution

y = \frac{2 x + 5}{x ^{2} + 2 x - 3}

Solution

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

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

X Intercepts : (- \frac{5}{2}, 0), Y Intercepts : (0, - \frac{5}{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{2 x + 5}{x ^{2} + 2 x - 3} : x < - 3 or - 3 < x < 1 or x > 1

Range of

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

Axis interception points of

\frac{2 x + 5}{x ^{2} + 2 x - 3} :

X Intercepts

: (- \frac{5}{2}, 0),

Y Intercepts

: (0, - \frac{5}{3})

Asymptotes of

\frac{2 x + 5}{x ^{2} + 2 x - 3} :

Vertical

: x = - 3, x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{2 x + 5}{x ^{2} + 2 x - 3} :

None

Popular Examples

f(x)=2x^3+7x^2-28x+12

f (x) = 2 x^{3} + 7 x^{2} - 28 x + 12

f (x) = (2 x - 5)^{2}

f(x)=log_{2}(2-x)

f (x) = lo g_{2} (2 - x)

y=(7x+5)/(9+3x)

y = \frac{7 x + 5}{9 + 3 x}

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

Frequently Asked Questions (FAQ)

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