f(x)=2x-1 and g(x)=-3x?

Question

Find [f . g] (2) and [g . f](2)

Answer 1

f(x) = 2x - 1
g(x) = -3x

1) [f . g] (2)
= f [g(2)]
= f [-3 (2)]
= f (-6)
= 2 (-6) - 1
= -12 - 1
= -13

2) [g . f] (2)
= g [f(2)]
= g [2(2) - 1]
= g [4 - 1]
= g (3)
= -3 (3)
= -9

Answer 2

(f o g).(x) = f(- 3x) = - 6x - 1
(f o g).(2) = - 13

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

Answer 3

1)[f*g](2)
f[g(2)=-3(2)]
f[-6]
f(6)=2(-6)-1
f(6)=-13

2)[g*f](2)
g[f(2)=2(2)-1]
g[3]
g(3)=-3(3)
g(3)=-9