3
Answer: BSet 2: Function Notation (Intermediate)
Explanation
PROBLEM
If f(x) = 2x + 2 and g(x) = 3x + 2, find f(g(6)).
If f(x) = 2x + 2 and g(x) = 3x + 2, find f(g(6)).
A.
45
B.✓ Correct
42
C.
44
D.
40
Detailed Explanation
Choice B is the best answer. g(6) = 3(6) + 2 = 20. f(20) = 2(20) + 2 = 42
Why others are wrong:
A: 45 is incorrect because it does not satisfy the equation.
C: 44 is incorrect because it does not satisfy the equation.
D: 40 is incorrect because it does not satisfy the equation.