Question

F(x) = 2x + 3
g(x) = x
(a) Find fg(6).
(b) Solve the equation gf(x) = 100.

Answer 1

a) 15

b) 97/2

Explanation:

a) f(g(6))

g(6) = 6

2(6)+3

12 + 3

15

b) gf(x) = 10

2x+3

2x+3 = 100

2x = 97

x = 97/2