Let f (x) = 2x+3 and g (x) = 1/2x - 3/2. Evaluate (fog) (-3)

Let f (x) = 2x+3 and g (x) = 1/2x - 3/2. Evaluate (fog) (-3)

First solve for g (x) by replacing x with - 3:

g (x) = 1/2 (-3) - 3/2

g (x) = - 3/2 - 3/2

g (x) = - 3

Now solve for f (x) by replacing x with - 3:

f (x) = 2 (-3) + 3

f (x) = - 6 + 3

f (x) = - 3

The answer is - 3