Question

If f(X)= x-1 /3
and g(x) = 3x+1, what is(f•g)(x)?

Answer 1

(f•g)(x) = 3x^2 -1/3

Explanation:

The solid dot in (f•g)(x) is assumed to mean you want the product of the functions, not their composition. So, ...

(f•g)(x) = f(x)•g(x) = (x -1/3)(3x +1) = x(3x +1) -1/3(3x +1) = 3x^2 +x -x -1/3

(f•g)(x) = 3x^2 -1/3