Question

Given the functions f(x) = 6x + 11 and g(x) = x + 6, which of the following functions represents f[g(x)] correctly?

f[g(x)] = 6x + 47
f[g(x)] = 6x + 17
f[g(x)] = 6x2 + 47
f[g(x)] = 6x2 + 17

Answer 1

`f(g(x))=6x+47`

Explanation:

we have

`f(x)=6x+11`

`g(x)=x+6`

we know that

`f(g(x))=6[x+6]+11`

`f(g(x))=6x+36+11`

`f(g(x))=6x+47`

Answer 2

f(x) = 6x + 11
g(x) = x + 6
f[g(x)] = f(x + 6) = 6(x + 6) + 11 = 6x + 36 + 11 = 6x + 47
f[g(x)] = 6x + 47