Question

Given f(x) = 8x and g(x)= 3x + 1, find the following expressions.

(a) (fog)(4) (b) (gof)(2) (c) (fof) (1) (d) (gog)(0)
(a) (fog)(4) =
(b) (gof)(2) =
(c) (fof)(1) =
(d) (gog)(0) =
(Simplify your answer.

Answer 1

a.) g(4)= 3(4)+1

= 12+1

= 13

fog = 8(13)

= 104

b.). f(4) = 8(4)

= 32

gof = 3(32)+1

96+1

= 97

c.). f(1) = 8(1)

=8

fog= 8(8)

64

d.). g(0) = 3(0)+1

=1

gog= 3(1)+1

=4