f(x) = -3x - 5, g(x) = 4x - 2
(f - g)(x) = f(x) - g(x) = (-3x - 5) - (4x - 2) = -3x - 5 - 4x + 2 = (-3x - 4x) + (-5 + 2)
(f - g)(x) = -7x - 3
Answer: The required value is
[tex](f-g)(x)=-7x-3.[/tex]
Step-by-step explanation: The given functions are:
[tex]f(x)=-3x-5\\\\g(x)=4x-2.[/tex]
We are to find the value of [tex](f-g)(x).[/tex]
We know that, for any functions s(x) and t(x), we have
[tex](s-t)(x)=s(x)-f(x).[/tex]
Therefore, we get
[tex](f-g)(x)\\\\=f(x)-g(x)\\\\=(-3x-5)-(4x-2)\\\\=-3x-5-4x+2\\\\=-7x-3.[/tex]
Thus, the required value is
[tex](f-g)(x)=-7x-3.[/tex]
