Given that f (x) = 2x + 1 and g (x) = the quantity of 3x minus 1, divided by 2, solve for g (f (3)). 5 7 9 10

The correct answer is 10.

In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f (x) is on the inside along with the number 3. So, we input 3 in for x in f (x).

f (x) = 2x + 1

f (3) = 2 (3) + 1

f (3) = 6 + 1

f (3) = 7

Now that we have the value of f (3), we can stick the answer in for the outside function, which is g (x).

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

g (7) = (3 (7) - 1) / 2

g (7) = (21 - 1) / 2

g (7) = 20/2

g (f (3)) = 10