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Popular Functions >

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

Solution

y = \frac{1}{x} - 1 - x^{2}

Solution

Domain : - 1 \leq x < 0 or 0 < x \leq 1

Range : f (x) \leq - 1 or f (x) \geq \frac{5.0 E 15}{3.41164 E 15} - \frac{1.58836 E 15}{5.0 E 15}

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- 1, - 1), Minimum (\frac{3.41164 E 15}{5.0 E 15}, \frac{5.0 E 15}{3.41164 E 15} - \frac{1.58836 E 15}{5.0 E 15}), Maximum (1, 1)

+1

Interval Notation

Domain : [- 1, 0) \cup (0, 1]

Range : (- \infty, - 1] \cup [\frac{5.0 E 15}{3.41164 E 15} - \frac{1.58836 E 15}{5.0 E 15}, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{x} - 1 - x^{2} : f (x) \leq - 1 or f (x) \geq \frac{5.0 E 15}{3.41164 E 15} - \frac{1.58836 E 15}{5.0 E 15}

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

Maximum

(- 1, - 1),

Minimum

(\frac{3.41164 E 15}{5.0 E 15}, \frac{5.0 E 15}{3.41164 E 15} - \frac{1.58836 E 15}{5.0 E 15}),

Maximum

(1, 1)

Graph

Popular Examples

Frequently Asked Questions (FAQ)

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