If f(x) = x^2 + 3 x - 5 and g(x) = 2 x + 3, what is the value of g (f(3))?

Question

a.  29             b.  23              c.  9              d.  103              e.  18

Answer 1

f(3) = 13

g(f(3) = g(13)

g(13) = 23

g(f(3)) = 23

Answer 2

You work from "the inside out" on this type of problem.

1. Find f(3) by plugging in 3 to f(x) = x² +3x-5 = 9 + 9 - 5 = 13
2. plug that answer into g(x) = 2(13) + 3 = 29

So g(f(3)) = 29 just work from the inside out... I hope that makes sense to you!