Given:
The table of function is:
Find-:
Where (f-g)(x) is positive.
Explanation-:
The function of values is:
[tex](f-g)(x)=f(x)-g(x)[/tex]
The f(x)-g(x) value is:
[tex]\begin{gathered} f(x)-g(x)=f(-8)-g(-8) \\ \\ =-4-(-14)=\text{ Positive} \\ \\ f(-5)-g(-5) \\ \\ =-6-(-11)=\text{ Positive} \\ \\ f(-2)-g(-2)=-8-(-8) \end{gathered}[/tex]
So positive interval for (f-g)(x)
[tex]\begin{gathered} (f-g)(x)=\text{ Positive interval } \\ \\ (-\infty,-2) \end{gathered}[/tex]
The positive interval for function ( f - g )( x ) is (-∞, -2)
