Find domain and range

Question

a)f(x)= uderthe radical 1-3x
b)f(x)=1/2x-6

Answer 1

you know that the domain of √u is u>=0.

So, you need
1-3x >= 0

for the other, the domain is all reals except where the denominator is zero. So, where 2x-6=0, that value is excluded.

D = (-∞,3)U(3,∞)