If f(x) = 3x^2 + 1 and g(x) = 1 – x, what is the value of f(g(2))?

To find the value of f(g(2)), we need to evaluate g(2) first and then use that result to find f.

First, let’s compute g(2):

g(2) = 1 - 2 = -1

Now that we have g(2) = -1, we will substitute this into f:

f(-1) = 3(-1)^2 + 1

Calculating this, we have:

f(-1) = 3(1) + 1 = 3 + 1 = 4

Therefore, the value of f(g(2)) is 4.