Final answer:
To find (f-g)(c), substitute c into f(x) and g(x), simplify, and subtract g(c) from f(c). The result is 8c + 3.
Step-by-step explanation:
To find (f-g)(c), we substitute c into the expressions of f(x) and g(x) and simplify the result.
Given f(x) = 3x + 10x and g(x) = 5x - 3, let's substitute c into both expressions:
f(c) = 3c + 10c = 13c
g(c) = 5c - 3
Now, we can find (f-g)(c) by subtracting g(c) from f(c):
(f-g)(c) = f(c) - g(c) = (13c) - (5c - 3) = 8c + 3
Learn more about Arithmetic Operations