83.
No
Domain: [−2, 2]; Range: [0, 2]
85.
f −1(x)=x1−x
Domain: (−∞,−1)∪(−1, ∞); range: (−∞, 1)∪(1, ∞)
f satisfies the horizontal-line test.
87.
f −1(x)=12x+12
g−1(x)=13x−43
(f∘g)(x)=6x+7
(g∘f)(x)=6x+1
(f∘g)−1(x)=16x−76
(g∘f)−1(x)=16x−16
(f−1∘g−1)(x)=16x−16
(g−1∘f−1)(x)=16x−76
(f∘g)−1(x)=16x−76=(g−1∘f−1)(x)
(g∘f)−1(x)=16x−16=(f−1∘g−1)(x)
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