Question

F(x) = x + 8
g(x) = 2x2 – 3x – 11
Find: (gof)(2)

Answer 1

Explanation:

g(f(2))=

f(2)= 2 + 8 = 10

g(10)= 2(10)^2 - 3(10) - 11

2(100) - 30 - 11

200 - 31= 159

Answer 2

159

Explanation:

`(g\circ f)(2)` is just another way to express
`g(f(2))`

This means that you solve what
`f(2)` is first then input that answer into
`g`.

`f(2)= (2) + 8 = 10\\g(f(2)) = g(10) = 2(10)^2 - 3(10) -11 = 170 - 11 = 159\\`

Therefore
`(g\circ f)(2)` is 159