Answer:
The correct answer option is D. [tex]-5^x+3x-2[/tex]
Step-by-step-explanation:
We are given the following two functions:
[tex]f(x)=-5^x-4[/tex]
and
[tex]g(x)= -3x-2[/tex]
We are to find [tex](f-g)(x)[/tex] so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:
[tex](f-g)(x) =(-5^x-4)-(-3x-2)[/tex]
[tex](f-g)(x)=-5^x-4+3x+2[/tex]
[tex](f-g)(x)=-5^x+3x-2[/tex]
Therefore, [tex](f-g)(x)[/tex] is equal to [tex]-5^x+3x-2[/tex] so the correct answer option is D. [tex]-5^x+3x-2[/tex].
