Question

find the domain and the range of the function
1) g(x)=sqr [16-(x^4)]
2) y=1+sin x

Answer 1

Domain of g is any x between -2 and 2 including -2 and 2. Range of g is between 0 and 4... including 0 and 4.

For the second question domain of the sine function is all reals and its range is between -1 and 1. Since y = 1 + sinx, domain is all reals, range is between 0 and 2... including 0 and 2.