Question -
Answer -
Given that f(x) = cos-1┬а2x+ sin-1┬аx.
Now we have to findthe domain of f(x),
We know that domain ofcos-1┬аx lies in the interval [-1, 1]
Also know that domainof sin-1┬аx lies in the interval [-1, 1]
Therefore, the domainof cos-1┬а(2x) lies in the interval [-1, 1]
Hence we can write as,
-1 тЙд 2x тЙд 1
тАУ ┬╜ тЙд x тЙд ┬╜
Hence, domain of cos-1(2x)+ sin-1┬аx lies in the interval [- ┬╜, ┬╜]