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Popular >

r(x)=(x^2-3x-4)/(x^2-1)

Solution

r (x) = \frac{x ^{2} - 3 x - 4}{x ^{2} - 1}

Solution

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

Range : f (x) < 1 or 1 < f (x) < \frac{5}{2} or f (x) > \frac{5}{2}

X Intercepts : (4, 0), Y Intercepts : (0, 4)

Asymptotes : Vertical x = 1, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, 1) \cup (1, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{x ^{2} - 3 x - 4}{x ^{2} - 1} :

X Intercepts

: (4, 0),

Y Intercepts

: (0, 4)

Asymptotes of

\frac{x ^{2} - 3 x - 4}{x ^{2} - 1} :

Vertical

: x = 1,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 3 x - 4}{x ^{2} - 1} :

None

Popular Examples

y = x^{2} - 11 x + 24

f(x)=cos(sin(x^2))

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

f(x)=3x^2-4x+21

f (x) = 3 x^{2} - 4 x + 21

f(x)= 5/(1-4x^2)

f (x) = \frac{5}{1 - 4 x ^{2}}

f (m) = 6 m^{2} + 16 m

Frequently Asked Questions (FAQ)

What is the r(x)=(x^2-3x-4)/(x^2-1) ?
The r(x)=(x^2-3x-4)/(x^2-1) is