In a college math class of 50 students, 23 are boys and 27 are girls. on the final exam, 15 boys and 14 girls made an a. what is the probability of choosing a boy or an a student if a student is chosen at random from the class?

boy or an A student is

29 made an A + 8 boys who did not make an A

37 who made an A and/or who is a boy

37/50

f(g(x)) = (x + 2)² = x² + 4x + 4

g(f(x)) = x² + 2

Step-by-step explanation:

∵ f(x) = x²

∵ g(x) = x + 2

→ f(g(x)) means substitute x of f(x) by g(x)

∵ f(g(x)) = f(x + 2)

∴ f(x + 2) = (x + 2)²

∵ (x + 2)² = (x)(x) + (x)(2) + (2)(x) + (2)(2)

∴ (x + 2)² = x² + 2x + 2x + 4

→ Add the like terms

∴ (x + 2)² = x² + 4x + 4

∴ f(g(x)) = (x + 2)² = x² + 4x + 4

→ g(f(x)) means substitute x of g(x) by f(x)

∵ g(f(x)) = g(x²)

∴ g(x²) = x² + 2

∴ g(f(x)) = x² + 2