Dear Math Central experts,
My name is Paula and I am a student. The questions i am asking is a senior advanced math question.

1. if f(x)= 3x-1 and g(x)= 1/2x + 3 find fog(2)
   
   
2. find the values of x for which tanx=0

The function fog(x) operates in two steps. First you calculate y = g(x) and then you calculate f(y). For example to find fog(6) the steps are:

1. y = g(6) = ¹/₂(6) + 3 = 3 + 3 = 6.
   
   
2. f(y) = f(6) = 3(6) - 1 = 18 - 1 =17.

For your second problem tan(x) = ^sin(x)/_cos(x) so you can solve this problem if you can find the values of x for which sin(x) = 0