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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - \frac{15}{2} - 2 or f (x) \geq \frac{15}{2} - 2

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

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

Extreme Points : Minimum (- 4 - 15, - \frac{4 - 15}{2}), Maximum (- 4 + 15, - \frac{15 + 4}{2})

+1

Interval Notation

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

Range : (- \infty, - \frac{15}{2} - 2] \cup [\frac{15}{2} - 2, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 4}{x ^{2} - 1} : f (x) \leq - \frac{15}{2} - 2 or f (x) \geq \frac{15}{2} - 2

Axis interception points of

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

X Intercepts

: (- 4, 0),

Y Intercepts

: (0, - 4)

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 4 - 15, - \frac{4 - 15}{2}),

Maximum

(- 4 + 15, - \frac{15 + 4}{2})

Popular Examples

f(x)=(x^3-x^2)/(x^2-9)

f (x) = \frac{x ^{3} - x ^{2}}{x ^{2} - 9}

h(x)=log_{3}(x+3)

h (x) = lo g_{3} (x + 3)

f (k) = 81 k^{4} - 3 k

h(t)=-16t^2+16+15

h (t) = - 16 t^{2} + 16 + 15

y = [\frac{2}{x ^{3}}]^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=(x+4)/(x^2-1) ?
The f(x)=(x+4)/(x^2-1) is