Question

F(x) = 2x - 3
g(x) = 3x - 1
Find (f. g)(x).

Answer 1

Explanation:

The composition of two functions, f and g, is denoted as (f.g)(x) and is given by:

(f.g)(x) = f(g(x))

For the given functions f(x) = 2x - 3 and g(x) = 3x - 1, we have:

(f.g)(x) = f(g(x)) = f(3x - 1) = 2(3x - 1) - 3 = 6x - 5

So the composition of f and g is (f.g)(x) = 6x - 5.