Let, f(x)=sin^-1(x/square root x^2+1) The domain of f is (-infinity, positive infinity), and the function is continuous everywhere. a) Find the range of f.

Question

Let, f(x)=sin^-1(x/square root x^2+1)

The domain of f is (-infinity, + infinity), and the function is continuous everywhere.

a) Find the range of f.

b) Consider the function.

g(x)={f(x-1)^-1)+A, if x>1,

-pi, if x=1,

f((x-1)^-1)+B, if x<1}

Find all the values A and B that make g continuous everywhere.

Answer 1

Please see video. It is only the answer to the first question about the range of f(x)