Question

if f(x) = [sqrt{1-x^2}] and g(x) = [sqrt{x}] What is the domain and range for (f+g)of and go(f*g)=?

Answer 1

We are given with two equations bearing a square root sign within. In this case, the goal of f(x) is to have a value of x not greater than 1 and not less than -1. g(x) should have x only equal to  positive numbers. Hence the domain for (f+g) is equal to the positive numbers greater than or equal to 1.in 2. we multiply both functions to give sqrt of x*(1-x2). the domain should be also positive numbers greater than or equal to 1.