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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - 1 or f (x) > 1

Y Intercepts : (0, - 1)

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

Extreme Points : Maximum (0, - 1)

+1

Interval Notation

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

Range : (- \infty, - 1] \cup (1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Horizontal

: y = 1

Extreme Points of

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

Maximum

(0, - 1)

Popular Examples

f(x)=x+sqrt(2-x)

f (x) = x + 2 - x

y=(9x^2+81x)/(x^3+8x^2-9x)

y = \frac{9 x ^{2} + 81 x}{x ^{3} + 8 x ^{2} - 9 x}

f (x) = 35

y = (x + 4)^{2} + 1

f(x)= 1/2 sqrt(x)

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

Frequently Asked Questions (FAQ)

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