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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - 1 or 0 < f (x) \leq 1

Intercepts : None

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

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

Range : (- \infty, - 1] \cup (0, 1]

Solution steps

Domain of

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

Range of

x - (x^{2} - 1)^{\frac{1}{2}} : f (x) \leq - 1 or 0 < f (x) \leq 1

Axis interception points of

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

None

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 1, - 1),

Maximum

(1, 1)

Popular Examples

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Frequently Asked Questions (FAQ)

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