The domain of a function, f(x), is all numbers between -1 and 6, inclusive. The range of this function is all numbers between 0 and 12, inclusive.

a) What is the domain of .5f(3x)?
b) What is the range of .5f(3x)?

1 answer

domain: -1 <= 3x <= 6
so, -1/3 <= x <= 2

range = .5*range(f(x) = [0,6]