Find (f•g)(x) for the functions provided: f(x) = sqrt(x - 3), g(x) = sqrt(x + 2)

Answer 1

This is 'f-compose-g of x', or f(g(x)). So to answer this problem you simply substitute g(x) for x in f(x), as shown below:

g(x) = √(x+2)

f(x) = √(x-3)

f(g(x)) = √(√(x+2) - 3) = This is your final answer because it can't be simplified anymore with the given information!