Ordering Composite Function Values
Consider the composite functions formed with f(x) = x + 3 and g(x) = 2x, and the additional functions h(x) = x^2 and k(x) = .
Evaluate at x = 1:
• f(g(1)): g(1) = 21 = 2, then f(2) = 5
• g(f(1)): f(1) = 1+3 = 4, then g(4) = 8
• f(h(1)): h(1) = 1, then f(1) = 4
• g(k(1)): k(1) = , then g(1) = 2
Rank these composite evaluations in increasing order.
A
g(k(1)), f(g(1)), f(h(1)), g(f(1))
B
g(k(1)), f(h(1)), f(g(1)), g(f(1))
C
f(h(1)), g(k(1)), f(g(1)), g(f(1))
D
f(g(1)), g(f(1)), f(h(1)), g(k(1))
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