Adım adım açıklama:
1-) f(x)= 5x-3 f(-1)= 5.(-1) - 3= -8
g(x)= x-7. g(-1)= -1-7= -8
(2f-3g)(-1)= 2f(-1) - 3g(-1)= 2.(-8)- 3(-8)= -16+24=8
4-)f(x)=2x, g(x)= x+2
a-) (gof)(x)= g(f(x))= 2x+2
(gof)(2)= 2.2+2= 6
b-) y= x+2 ise x = y-2 o halde g^-1(x)= x-2 olur.
(fog^-1)(x)=f(g^-1(x))= 2.( x-2)= 2x-4
(fog^-1)(2)= 2.2-4= 0
5-) f(x)= (5x-3)/4
y = (5x-3)/4 ise x= (4y+3)/5 f^-1= (4x+3)/5
6-) f(-1)= 2.(-1) -1= -3
f(0)= 3
f(3)= 3^2= 9
f(-1)+ f(0)+ f(3)= -3+3+9= 9