Question: 2. Let f:R R, f(x) = x - 2 g:RR, g(x)= x +4 h: RR, h(x)= x - 1 (1) Determine g off og;

2. Let f:R R, f(x) = x - 2 g:R  R, g(x)= x +4 h: RR, h(x)= x - 1 (1) Determine g off og; (2) Are g of and f g 

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

Step by Step Solution

3.50 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

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 full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!