Question

Evaluate each expression using the values in the given table. x minus−3 minus−2 minus−1 0 1 2 3 ​f(x) minus−9 minus−7 minus−5 minus−3 minus−1 1 3 ​g(x) 3 2 1 0 minus−1 minus−2 minus−3 ​(a) ​(fcircle◦​g)(negative 1−1​) ​ (b) ​(gcircle◦​f)(11​) ​ (c) ​(fcircle◦​f)(11​)

Answer 1

a) (f∘g)(-1) = f(g(-1)) = f(1) = -1
b) (g∘f)(1) = g(f(1)) = g(-1) = 1
c) (f∘f)(1) = f(f(1)) = f(-1) = -5