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Further Topics in Functions — Stitz & Zeager
Mathematics — Precalculus · function-composition-discrete
Problem Let f = { ( − 3 , 4 ) , ( − 2 , 2 ) , ( − 1 , 0 ) , ( 0 , 1 ) , ( 1 , 3 ) , ( 2 , 4 ) , ( 3 , − 1 ) } f = \{(-3, 4),(-2, 2),(-1, 0),(0, 1),(1, 3),(2, 4),(3, -1)\} f = {( − 3 , 4 ) , ( − 2 , 2 ) , ( − 1 , 0 ) , ( 0 , 1 ) , ( 1 , 3 ) , ( 2 , 4 ) , ( 3 , − 1 )} g = { ( − 3 , − 2 ) , ( − 2 , 0 ) , ( − 1 , − 4 ) , ( 0 , 0 ) , ( 1 , − 3 ) , ( 2 , 1 ) , ( 3 , 2 ) } g = \{(-3, -2),(-2, 0),(-1, -4),(0, 0),(1, -3),(2, 1),(3, 2)\} g = {( − 3 , − 2 ) , ( − 2 , 0 ) , ( − 1 , − 4 ) , ( 0 , 0 ) , ( 1 , − 3 ) , ( 2 , 1 ) , ( 3 , 2 )} ( g ∘ g ∘ ⋯ ∘ g ) ⏟ n times ( 0 ) \underbrace{(g \circ g \circ \cdots \circ g)}_{n \text{ times}}(0) n times ( g ∘ g ∘ ⋯ ∘ g ) ( 0 ) Browse the problem library