Answer:
[tex](f-g)(x)=x^2+10[/tex]
C is the correct option.
Step-by-step explanation:
We have been given that
[tex]f(x)=2x^2+3\\\\g(x)=x^2-7[/tex]
The function (f-g)(x) can rewritten as
[tex](f-g)(x)=f(x)-g(x)[/tex]
Substituting the value of f(x) and g(x)
[tex](f-g)(x)=2x^2+3-(x^2-7)[/tex]
Distribute negative over the parenthesis
[tex](f-g)(x)=2x^2+3-x^2+7[/tex]
Now, combine the like terms
[tex](f-g)(x)=x^2+10[/tex]
C is the correct option.
