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Popular >

f(x)=(x^2+4x)/(x^2+3x-4)

Solution

f (x) = \frac{x ^{2} + 4 x}{x ^{2} + 3 x - 4}

Solution

Domain : x < - 4 or - 4 < x < 1 or x > 1

Range : f (x) < \frac{4}{5} or \frac{4}{5} < f (x) < 1 or f (x) > 1

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 1) \cup (1, \infty)

Range : (- \infty, \frac{4}{5}) \cup (\frac{4}{5}, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{x ^{2} + 4 x}{x ^{2} + 3 x - 4} : x < - 4 or - 4 < x < 1 or x > 1

Range of

\frac{x ^{2} + 4 x}{x ^{2} + 3 x - 4} : f (x) < \frac{4}{5} or \frac{4}{5} < f (x) < 1 or f (x) > 1

Axis interception points of

\frac{x ^{2} + 4 x}{x ^{2} + 3 x - 4} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2} + 4 x}{x ^{2} + 3 x - 4} :

Vertical

: x = 1,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} + 4 x}{x ^{2} + 3 x - 4} :

None

Popular Examples

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f (x) = - x - 2 + 3

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f (x) = x - 2 + x

f(x)=cos(2sqrt(x))

f (x) = cos (2 x)

f(x)=-2xsqrt(x+11)+12

f (x) = - 2 x x + 11 + 12

y=sqrt((3x-2)/(x+1))

y = \frac{3 x - 2}{x + 1}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+4x)/(x^2+3x-4) ?
The f(x)=(x^2+4x)/(x^2+3x-4) is