Homework SourseFind functions f and g such that fgx hx and the result will
Find functions f and g such that f[g(x)] = h(x), and the result will be h(x) = (x + 2)2 - 3
Solution
h(x) = (x + 2)^2 - 3
we choose g(x) = x+2 and f(x) = x^2 - 3
then f(g(x)) = f(x+2)
= (x+2)^2-3
so, g(x) = x+2 and f(x) = x^2 - 3
![Find functions f and g such that f[g(x)] = h(x), and the result will be h(x) = (x + 2)2 - 3Solutionh(x) = (x + 2)^2 - 3 we choose g(x) = x+2 and f(x) = x^2 - 3](/WebImages/30/find-functions-f-and-g-such-that-fgx-hx-and-the-result-will-1086494-1761571391-0.webp "Find functions f and g such that f[g(x)] = h(x), and the result will be h(x) = (x + 2)2 - 3Solutionh(x) = (x + 2)^2 - 3 we choose g(x) = x+2 and f(x) = x^2 - 3")
