Answer:
(f∘g)(x) = 5x -16
Step-by-step explanation:
You want the simplified form of the composition (f∘g)(x) when f(x)=5x-6 and g(x)=x-2.
Composition
The notation (f∘g)(x) is a shorthand way to write f(g(x)). The composition operator (ring operator) works right to left, meaning that g(x) is evaluated first, then the result is used as an argument to the function f.
Evaluation
Functions are evaluated in the usual way.
f(g(x)) = f(x-2) = 5(x-2) -6 = 5x -10 -6 = 5x -16
(f∘g)(x) = 5x -16
