Question

Sejam f (x) = 2x −1 e g (x) = 3x +2, determine:
a) g (f (x))
b) f (g (x))
c) f (f (x))
d) g (g (x))

Answer 1

a) g (f(x))= 3f +2 =3(2x-1) +2= 6x-3 +2= 6x-1

b) f (g (x))=2g -1 =2(3x+2) -1= 6x+4 -1= 6x+3

c) f (f (x)) = 2f -1 = 2(2x-1) -1 = 4x-2 -1= 4x-3

d)g (g (x))=3g +2=3(3x+2)+2=9x+6+2=9x+8