2. Let f:R R, f(x) = x - 2 g:RR, g(x)= x +4 h: RR,...

 

Transcribed Image Text:

2. Let f:R → R, f(x) = x² - 2 g:RR, g(x)= x +4 h: RR, h(x)= x³ - 1 (1) Determine g off og; (2) Are g of and f g injective, surjective or bijective? (3) Among the functions of f, g, h, which ones have inverse functions? If so, determine these inverse functions. 2. Let f:R → R, f(x) = x² - 2 g:RR, g(x)= x +4 h: RR, h(x)= x³ - 1 (1) Determine g off og; (2) Are g of and f g injective, surjective or bijective? (3) Among the functions of f, g, h, which ones have inverse functions? If so, determine these inverse functions.

Answer rating: 100% (QA)

Lets break down the problem step by step 1 Determine gof and fog To determine gof we substitute gx into fx gofx fgx fx 4 Substituting fx x2 2 into fx 4 gofx x 42 2 gofx x2 8x 16 2 gofx x2 8x 14 To det... View the full answer