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Popular >

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

Solution

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

Solution

Domain : - 1 \leq x \leq 1

Range : - arctan (\frac{1}{2} + \frac{1}{2}) \leq f (x) \leq \frac{π}{4}

X Intercepts : (\frac{1}{2}, 0), Y Intercepts : (0, - \frac{π}{4})

Asymptotes : None

+1

Interval Notation

Domain : [- 1, 1]

Range : [- arctan (\frac{1}{2} + \frac{1}{2}), \frac{π}{4}]

Solution steps

Domain of

arctan (x - 1 - x^{2}) : - 1 \leq x \leq 1

Range of

arctan (x - 1 - x^{2}) : - arctan (\frac{1}{2} + \frac{1}{2}) \leq f (x) \leq \frac{π}{4}

Axis interception points of

arctan (x - 1 - x^{2}) :

X Intercepts

: (\frac{1}{2}, 0),

Y Intercepts

: (0, - \frac{π}{4})

Asymptotes of

arctan (x - 1 - x^{2}) :

None

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Frequently Asked Questions (FAQ)

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