题目
题目

MATH 2A LEC A: CALCULU... Quiz 1 (Multiple Choice)

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Suppose that 𝑓 and 𝑔 are two functions so that ( 𝑓 ∘ 𝑔 ) ( 𝑡 ) = sec ⁡ ( 3 𝑡 4 ) tan ⁡ ( 9 𝑡 8 ) . Determine the possibilities of { 𝑓 ( 𝑡 ) , 𝑔 ( 𝑡 ) } . Select all that apply. 

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思路分析
We start by restating the problem in our own words and listing the given candidate decompositions to evaluate each one. Question restatement: Given (f ∘ g)(t) = sec(3 t^4) tan(9 t^8), determine which pairs (f, g) listed could realize this composition, where each option presents a candidate f(t) and a candidate g(t). Option 1: f(t) = sec(t) tan(t), g(t) = 9 t/8. - If we plug g(t) into f, we would get f(g(t)) = sec(9t/8) tan(9t/8). This is not equal to sec(3 t^4......Login to view full explanation

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