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2 cards from this section. Quick, good the night before a test.
Given f(x) = x + 1 and g(x) = 2x, find g(f(2)).
Calculate the output of f first, then substitute it into g.
If f(x) = 2x and g(x) = x - 3, what is f(g(5))?
First compute g(5).
If f(x) = x + 1 and g(x) = 2x, what is g(f(4))?
Calculate f(4) first.
True or False: The order of functions in composition does not matter.
Remember, g(f(x)) is usually not the same as f(g(x)).
Given the functions f(x) = x - 1 and g(x) = 2x + 3, find the compositions g(f(x)) and f(g(x)), and determine if they yield the same results.
Remember to calculate each composition separately.
If f(x) = x/3 + 2 and g(x) = 5x - 1, calculate g(f(9)) and f(g(9)). Are they equal, and explain why or why not?
Carefully evaluate each step and check your calculations.
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