Question

Function Composition:
Let the functions f(x), g(x) and h(x), determine:

Answer 1

a)

• f · g(3) = f(g(3)) = f(√(3*3 - 6)) = f(√3) = (√3)² + 7 = 3 + 7 = 10

b)

• g · f(2) = g(f(2)) = g(2² + 7) = g(11) = √(3*11 - 7) = √26

c)

• h · f(√5) = h(f(√5)) = h((√5)² + 7) = h(12) = (-12 - 5)/2 = -17/2 = -8.5

d)

• g · (10/3) = g(g(10/3)) = g(√(3*10/3 - 6) = g(√4)= g(2) = √(3*2 - 4) = √2