Final answer:
When f(x)=2x 13 and g(x)=3x-5, then (f times g)(x) is 6x + 3.
Step-by-step explanation:
To find the composition of two functions, f and g, we substitute g(x) into f(x).
Given that f(x) = 2x + 13 and g(x) = 3x - 5, we substitute g(x) into f(x).
(f ∙ g)(x)
= f(g(x))
= f(3x-5)
= 2(3x-5) + 13.
Expanding and simplifying, (f ∙ g)(x) = 6x - 10 + 13
= 6x + 3.
Therefore, (f ∙ g)(x) = 6x + 3.