Answer:
(f-g)(x)=x+14
Explanation:
Operations with Functions
Given two functions f(x) and g(x), the following operations are defined:
(f+g)(x)=f(x)+g(x)
(f-g)(x)=f(x)-g(x)
(f*g)(x)=f(x)*g(x)
(f/g)(x)=f(x)/g(x)
We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find
(f-g)(x)=(3x+10)-(2x-4)
Operating:
(f-g)(x)=3x+10-2x+4
Joining like terms:
(f-g)(x)=x+14