59.2k views
1 vote
Jim was given three functions and asked to determine ƒ + (g ○ h). The functions were ƒ (x) = x2, g(x) = 3x + 1, and h(x) = 2x. Jim started by writing the problem as (ƒ + (g ○ h))(x) = x2 + 2(3x + 1). What was Jim's mistake? What is the correct solution? A. Jim omitted the x in h(x); (ƒ + (g ○ h)) = 7x2 + 2x. B. Jim should have added ƒ and g first; (ƒ + (g ○ h)) = 4x2 + 6x + 1. C. Jim incorrectly performed h ○ g instead of g ○ h; (ƒ + (g ○ h)) = x2 + 6x + 1. D. Jim did not follow the order of operations; (ƒ + (g ○ h)) = x2 + 6x + 2.

User Andurit
by
4.4k points

1 Answer

5 votes

Answer:

3x+2x+2x=7*2

7x=14

x=14/7

x=2

User Thinkski
by
3.7k points