for fx x 1 and gx 5x 4 find the following functions a f

for f(x) = x + 1, and g(x) = 5x +4 find the following functions

a. (f • g)(x)

b. (g • f)(x)

c. (f • g)(0)

Solution

a) (fog)(x) = f(g(x))

(fog)(x) = (5x+4)+1

(fog)(x) = 5x+5

b) (gof)(x) = g(f(x))

(gof)(x) = 5(x+1)+1

(gof)(x) = 5x+6

c) (fog)(0) = 5*0+5 = 5

(fog)(0) = 5