given that f:x->x+3 and g:x->x^2,find g(f(x))
To find g(f(x)), we need to first determine f(x) and then substitute that into g(x).
Given that f(x) = x + 3 and g(x) = x^2, we can substitute f(x) into g(x).
g(f(x)) = g(x + 3) = (x + 3)^2
Expanding this gives:
g(f(x)) = x^2 + 6x + 9
Therefore, g(f(x)) = x^2 + 6x + 9.