1.

Determine the domain of sin-1[log3(x/3)]

Answer»

Domain of sin-1x is [-1,1]  

Therefore, -1 ≤ log3(x/3) ≤ 1  

3-1 ≤ x/3 ≤ 3  

1 ≤ x ≤ 9  

Therefore, the domain of sin-1[log3(x/3)] is [1,9]



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