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Popular >

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

Solution

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

Solution

Domain : x < - 1 or x > 1

Range : f (x) \geq 2

Intercepts : None

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

Extreme Points : Minimum (- 2, 2), Minimum (2, 2)

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Interval Notation

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

Range : [2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Slant

: y = x, y = - x

Extreme Points of

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

Minimum

(- 2, 2),

Minimum

(2, 2)

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Frequently Asked Questions (FAQ)

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