50 Points! Let f(x) = x+3 and g(x)= 1/x. What are the domain and range of f(g(x))? What are the domain and range of g(f(x))?

Question

asked Aug 10, 2021 117k views

2 Answers

Mahmoud Felfel · Answer 1 · 2021-08-11T23:30:40+0000

Answer:

Explanation:

f(g) = g+3 = 1/x + 3 = (3x+1)/x

so, domain is all reals except x=0, range is all reals

g(f) = 1/f = 1/(x+3)

so, domain is all reals except x = -3, range is all reals