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Popular >

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

Solution

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

Solution

Domain : x < - 2 or - 2 < x < 1 or x > 1

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

X Intercepts : (- \frac{1}{2}, 0), Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Vertical x = - 2, x = 1, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 1) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 2, x = 1,

Horizontal

: y = 0

Extreme Points of

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

None

Popular Examples

intercepts of x,x>= 7 intercepts

x, x \geq 7

f(x)=(x-4)/(x-3)

f (x) = \frac{x - 4}{x - 3}

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

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

f (x) = 2 (3)^{3}

f(x)=(e^x+e^{-x})/(e^x-e^{-x)}

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

Frequently Asked Questions (FAQ)

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