f(x)=x^2+3; g(x)=x+4 find (fog)(-2) I have an answer of -7 or could this be just 7
To find the value of (fog)(-2), first we need to find the composition of f(x) and g(x), denoted as (fog)(x).
The composition (fog)(x) means that we substitute g(x) into f(x). In this case, we substitute x+4 (g(x)) into f(x).
So, we have:
(fog)(x) = f(g(x)) = f(x+4) = (x+4)^2 + 3
Now, to find (fog)(-2), we substitute -2 into (fog)(x):
(fog)(-2) = (-2 + 4)^2 + 3
= 2^2 + 3
= 4 + 3
= 7
Therefore, the correct answer is 7, not -7.