What is the domain of cos(arcsin(x/9)),x>0 ?

The domain of cos(arcsin(x/9)),x>0 is 0<x<= 9

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domain of cos(arcsin(x/9)),x>0

domain

cos (arcsin (\frac{x}{9})), x > 0

0 < x \leq 9

Interval Notation

(0, 9]

Solution steps

Set the domain to the given interval

x > 0

Find known functions domain restrictions:

- 9 \leq x \leq 9

Combine real regions and undefined points

- 9 \leq x \leq 9

Join real regions with the domain:

- 9 \leq x \leq 9 and x > 0

0 < x \leq 9

g (x) = lo g_{5} (x)

f (x) = 3 x^{3} - 2

f (x) = 4 x^{2} + 2

f (x) = \frac{3}{( x ^{2} - 9 )}

f (x) = (cos (4 x))^{2}

What is the domain of cos(arcsin(x/9)),x>0 ?
The domain of cos(arcsin(x/9)),x>0 is 0<x<= 9