Answer:
The answer is:
[tex]f(x)-g(x)=-5^x+3x-2[/tex]
Step-by-step explanation:
You need to subtract these two functions:
[tex]f(x)=-5^x-4\\g(x)=-3x-2[/tex]
When you subtract you need to consider the mathematical signs, that is the reason because the signs in the function g(x) change:
- and - =+
+ and - = -
[tex]f(x)-g(x)=-5^x-4-(-3x-2)\\f(x)-g(x)=-5^x-4+3x+2\\f(x)-g(x)=-5^x+3x-2[/tex]
