Answer:
Option B is correct
[tex](f-g)(x) = 5x^3-x-3[/tex]
Step-by-step explanation:
Given the functions:
[tex]f(x) =5x^3-2[/tex]
g(x)= x+1
We have to find (f-g)(x).
[tex](f-g)(x) = f(x)-g(x)[/tex]
Substitute the given values we have;
[tex](f-g)(x) = 5x^3-2-(x+1)[/tex]
⇒[tex](f-g)(x) = 5x^3-2-x-1[/tex]
Combine like terms;
⇒[tex](f-g)(x) = 5x^3-x-3[/tex]
Therefore, the value of [tex](f-g)(x)[/tex] is, [tex]5x^3-x-3[/tex]
