Using a table to evaluate composite functions Use the function values in the table to evaluate the following composite functions. a. (f⋅g)(0) b. g(f(−1)) c.f(g(g(−1))), x−2−1012f(x)01342g(x)−10−2−3−4

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Using a table to evaluate composite functions Use the function values in the table to evaluate the following composite functions.  a. (f⋅g)(0) b. g(f(−1))  c.f(g(g(−1))),  x−2−1012f(x)01342g(x)−10−2−3−4

Twereen · Accepted Answer

Step 1 a) fog(0) from the givetable, we have g(0)=−2,f(−2)=0 =fog(0)=f(g)g(0)=−2,f(−2)=0 ⇒fog(0)=f(g(0)) ⇒fog(0)=f(−2)(using,g(0)=−2) ⇒fog(0)=0(usin⁡g,f(−2)=0) b)g(f(−1)) from the givetable, f(−1)=1,g(1)=−3 ⇒g(f(−1))=g(1)(substituting,f(−1)=1) ⇒g(f(−1))=−3(using,g(1)=−3) c)f(g(g(−1))) from the givetable, we have, g(−1)=0,g(0)=−2,f(−2)=0 ⇒f(g(g(−1)))=f(g(0))(using,g(−1)=0) ⇒f(g(g(−1)))=f(−2)(using,g(0)=−2) ⇒f(g(g(−1)))=0(using,f(−2)=0) Step 2 Result: a) fog(0)=0 b)g(f(−1))=−3 c)f(g(g(−1)))=0

Using a table to evaluate composite functions Use the function values

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