Referenced from lesson Function Composition (Spring, 2021)
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fx = 3x |
gx = x + 6 |
hx = x - 1 |
For each function composition diagrammed below, translate it into the equivalent Circle of Evaluation for Order of Operations. Then write expressions for both versions of the Circles of Evaluation, and evaluate them for x = 4. The first one has been completed for you.
Function Composition | Order of Operations | Translate & Evaluate | |||||||||||||||||||||||||||
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1
(h (g (f x))) |
(- (+ (* 3 x) 6) 1) |
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2
(g (f (h x))) |
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3
(h (f (g x))) |
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4
(f (h (g x))) |
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These materials were developed partly through support of the National Science Foundation,
(awards 1042210, 1535276, 1648684, and 1738598).
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