Question

f:[-3;2]->R
g:[a.b]->R
f(x)=3x+1
g(x)=2x-3
1.Determinati a,b astfel incat f◦g
2.Determinati a,b astfel incat g◦f

Answer 1

(f o g)(x) = f(g(x)) = 3g(x)+1 = 3(2x-3)+1 = 6x-9+1 = 6x-8            
(g o f)(x) = g(f(x)) = 2f(x)-3 = 2(3x+1)-3 = 6x+2-3 = 6x-1