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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - \frac{3}{2} + 1 or f (x) \geq \frac{3}{2} + 1

X Intercepts : (2, 0), Y Intercepts : (0, 2)

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

Extreme Points : Minimum (2 - 3, \frac{2 + 3}{2}), Maximum (2 + 3, \frac{2 - 3}{2})

+1

Interval Notation

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

Range : (- \infty, - \frac{3}{2} + 1] \cup [\frac{3}{2} + 1, \infty)

Solution steps

Domain of

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

Range of

\frac{x - 2}{x ^{2} - 1} : f (x) \leq - \frac{3}{2} + 1 or f (x) \geq \frac{3}{2} + 1

Axis interception points of

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

X Intercepts

: (2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(2 - 3, \frac{2 + 3}{2}),

Maximum

(2 + 3, \frac{2 - 3}{2})

Popular Examples

f(x)=sec^4(x)-tan^4(x)-2tan^2(x)

f (x) = sec^{4} (x) - tan^{4} (x) - 2 tan^{2} (x)

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

f (1) = 2 x - 1

domain of g(e)=ln(x-1)+e^{x^2-3}+(x^2-4)^{5/3}domain

g (e) = ln (x - 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

intercepts of 12-2x,x>2 intercepts

12 - 2 x, x > 2

Frequently Asked Questions (FAQ)

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