f(g(x)) =. Does this make sense or not?
A) This makes sense because f(x) = x^2 and g(x) = x + 4 so putting in x^2 for x into g gives us x^2 + 4.
B) This does not make sense because the input would first go into g, giving x + 4. Then x + 4 would be the input to f, giving (x+4)^2.
A) This makes sense. To evaluate f(g(x)), we substitute g(x) into f(x) for every occurrence of x.
Given f(x) = x^2 and g(x) = x + 4, we replace x with g(x) in f(x) to get f(g(x)) = (x + 4)^2.
B) This does not make sense. The correct order of evaluation for f(g(x)) would first apply g(x) to get x + 4, and then substitute it into f(x) to get (x + 4)^2.