Question

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

Answer 1

Answer:

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

Step-by-step 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