Let f and g be thwe function from the set of integers to itself defined by f(x) =2x +1 and g(x) =3x+4 then the composition of f and g is​?

Respuesta :

To find the composition of f and g, denoted as (f ∘ g)(x), you need to perform the operation f(g(x)).

So, first, you apply g(x) to the input x, which gives you 3x + 4. Then, you apply f(x) to the result, which gives you 2(3x + 4) + 1.

Expanding this, you get:

2(3x + 4) + 1 = 6x + 8 + 1 = 6x + 9

So, the composition of f and g is (f ∘ g)(x) = 6x + 9.