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Popular >

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

Solution

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

Solution

Domain : x \leq - 1 or x \geq 1

Range : - 1 < f (x) < 1

X Intercepts : (1, 0), (- 1, 0)

Asymptotes : Horizontal y = 1, y = - 1

Extreme Points : Maximum (- 1, 0), Minimum (1, 0)

+1

Interval Notation

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

Range : (- 1, 1)

Solution steps

Domain of

\frac{x ^{2} - 1}{x} : x \leq - 1 or x \geq 1

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0)

Asymptotes of

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

Horizontal

: y = 1, y = - 1

Extreme Points of

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

Maximum

(- 1, 0),

Minimum

(1, 0)

Popular Examples

y = x^{3} cos (x)

f(x)=(x-1)^2(x+1)^3

f (x) = (x - 1)^{2} (x + 1)^{3}

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

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

f (x) = x + 18

f(x)=(x^3+1)/(x^2-1)

f (x) = \frac{x ^{3} + 1}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

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