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Popular >

f(x)=arctanh(sin(3x))

Solution

f (x) = arctanh (sin (3 x))

Solution

Domain : \frac{2 π}{3} n \leq x < \frac{π}{6} + \frac{2 π}{3} n or \frac{π}{6} + \frac{2 π}{3} n < x < \frac{π}{2} + \frac{2 π}{3} n or \frac{π}{2} + \frac{2 π}{3} n < x < \frac{2 π}{3} + \frac{2 π}{3} n

Range : True for all f (x) \in R

Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0)

+1

Interval Notation

Domain : [\frac{2 π}{3} n, \frac{π}{6} + \frac{2 π}{3} n) \cup (\frac{π}{6} + \frac{2 π}{3} n, \frac{π}{2} + \frac{2 π}{3} n) \cup (\frac{π}{2} + \frac{2 π}{3} n, \frac{2 π}{3} + \frac{2 π}{3} n)

Range : (- \infty, \infty)

Solution steps

Domain of

arctanh (sin (3 x)) : \frac{2 π}{3} n \leq x < \frac{π}{6} + \frac{2 π}{3} n or \frac{π}{6} + \frac{2 π}{3} n < x < \frac{π}{2} + \frac{2 π}{3} n or \frac{π}{2} + \frac{2 π}{3} n < x < \frac{2 π}{3} + \frac{2 π}{3} n

Range of

arctanh (sin (3 x)) :

True for all

f (x) \in R

Axis interception points of

arctanh (sin (3 x)) :

Y Intercepts

: (0, 0)

Asymptotes of

arctanh (sin (3 x)) :

None

Extreme Points of

arctanh (sin (3 x)) :

Minimum

(0, 0)

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Frequently Asked Questions (FAQ)

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