Hi, there-- The Problem: Given f(x)=3x+2 and g(x)=2x^2 +1. Find f[g(2)]. Solution: f(x) = 3x+2 g(x) = 2x^2+1 We are going to work from the inside out. First, find g(2). g(2) = 2(2)^2+1 = 2(4)+1 = 8+1 g(2) = 9 When x=2, the value of g is 9. Now we input 9 into the function f. f[g(2)] = f(9) f(9) = 3(9)+2 = 27+2 f(9) = 29 f[g(2)] = 29 If this is unclear, or if you still have questions, email me. Mrs.Figgy math.in.the.vortex@gmail.com