Question

If the range of the function f(x)= 5x − 3 is {-13, -8, -3, 12, 17}, what is its domain?

Answer 1

f(x) = 5x - 3
5x = f(x) + 3
x = (f(x) + 3)/5
Domain = {(-13 + 3)/5, (-8 + 3)/5, (-3 + 3)/5, (12 + 3)/5, (17 + 3)/5} = (-10/5, -5/5, 0/5, 15/5, 20/5) = (-2, -1, 0, 3, 4}