If f(x)=-3x+2 and g(x)=2x+9, find (gof)(x)?

g(- 3x + 2) = 2( - 3x + 2) + 9

Sub x =3x + 2 in g(x), we get
(gof)(x) = 2(3x + 2) + 9
= 6x + 4 + 9
= 6x + 13 (Answer)

g [ f ( x ) ] = g [ 2 - 3 x ] = 4 - 6 x + 9 = 13 - 6 x

f(x) = -3x + 2
g(x) = 2x + 9

g(x) → (g o f)(x) = g[f(x)] = g(-3x + 2)

g(-3x + 2) = 2(-3x + 2) + 9
g(-3x + 2) = 2(-3x) + 2(2) + 9
g(-3x + 2) = -6x + 4 + 9
g(-3x + 2) = -6x + 13

g(- 3x + 2) = 2( - 3x + 2) + 9

(gof)(x)=2(-3x+2)+9
=-6x+4+9
=-6x+13 answer//

2(-3x+2)+9 = -6x+13

(g0f)(x)=g(f(x))=g(- 3x + 2) = 2( - 3x + 2) + 9=
-6x+4+9=-6x+13