Question

F(x)=(3x+4)/7 и g(x)=(7x-4)/3 найдите (f°g)(x)​

Answer 1

F(x){(3x+4)/7
g(x)=(7x-4)/3


f(g(x))= (3*g(x)+4)/7=(3*(7x-4)/3+4)/7=

(7x-4+4)/7=7x/7=x

Answer 2

To find the composition of two functions f and g, denoted as (f°g)(x), we first find g(x) and then replace x in f(x) with g(x).

So,

g(x) = (7x-4)/3

Now we replace x in f(x) with g(x) and get:

f(g(x)) = f[(7x-4)/3] = (3[(7x-4)/3] + 4)/7 = (7x-4+4)/7 = (7x)/7 = x

Therefore, (f°g)(x) = x.