For f(x)=x+5 and g(x)=4x+3 Find the following functions a, (fog)(x) b. (gof)(x) C. (fog)(1) D. (gof)(1)

Answer 1

f(x)=x+5

g(x)=4x+3

a) (f o g)(x) = g(x) + 5 = 4x + 3 + 5 = 4x + 8

b) (g o f)(x) = 4f(x) + 3 = 4(x+5) + 3 = 4x + 20 + 3 = 4x + 23

c) Plug x = 1 into the result of question a and compute the answer

d) Plug x = 1 into the result of question b and compute the answer.