Question

domain of
function Sin (log x^2/2)​

Answer 1

Answer:

Problem: Find domain of sin−1[log2(x2)]

Solution: log2(x2) is defined for x2>0

log2(x2) is defined for x>0

Also domain of sin−1x is [−1,1]

When x=1 ,then log2(x2) becomes −1

When x=4 ,then log2(x2) becomes 1

So domain is [1,4]