Question

Найти f(g(x)) f(x)=1/(x²+1); g(x)=1/x

Answer 1

Ответ:

x²/(x²+1)

Пошаговое объяснение:

подставим 1/х вместо х в функции f(x)

f(1/x)=1/(1/x²+1)=x²/(x²+1)

вуаля (づ｡◕‿‿◕｡)づ

Answer 2

To find the composition of functions f(g(x)), where f(x) = 1/(x^2 + 1) and g(x) = 1/x, we need to substitute g(x) into f(x).

Step 1: Substitute g(x) into f(x) f(g(x)) = f(1/x)

Step 2: Replace x in f(x) with 1/x f(1/x) = 1/((1/x)^2 + 1)

Step 3: Simplify the expression f(1/x) = 1/(1/x^2 + 1) = 1/((1 + x^2)/x^2) = x^2/(1 + x^2)

Therefore, f(g(x)) = x^2/(1 + x^2).