Answer: choice b. 3
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Explanation:
g(f(2)) has the f(x) function as the inner function. That means f goes first. Plug x = 2 into the f(x) function to get...
f(x) = 4x - 3
f(2) = 4*2 - 3
f(2) = 8 - 3
f(2) = 5
Because f(2) = 5, this means we can replace "f(2)" with "5" going from g(f(2)) to g(5).
Now compute g(5): plug x = 5 into the g(x) function and simplify
g(x) = (2x-1)/3
g(5) = (2*5-1)/3
g(5) = (10-1)/3
g(5) = 9/3
g(5) = 3
g(5) = g(f(2)) = 3
