Question

Find the domain of the following function
Solve only if you know...​

Answer 1

Answer:

x∈[1,√2]

Step-by-step explanation:

we know that domain of sin^-1(x) ∈ [-1,1]

=>-1≤√(x²-1)≤1

Squaring both sides, limits become 0 and 1

=> 0≤x²-1≤1

=>1≤x²≤2

=>√1≤x≤√2

=>1≤x≤√2