Answer:
4
Step-by-step explanation:
In this problem, we have two functions:
[tex]f(x)=x^2-5\\g(x)=4x-4[/tex]
Here we want to calculate the value of the "difference" function for x = 5:
[tex](f-g)(5)[/tex]
The definition of difference function is:
[tex](f-g)(x)=f(x)-g(x)[/tex]
In this case therefore, it means
[tex](f-g)(5)=f(5)-g(5)[/tex]
Substituting x = 5 into the expressions of the two functions, we have:
[tex]f(5)=5^2-5=20\\g(5)=4\cdot 5-4=16[/tex]
Therefore, the "difference" function is:
[tex](f-g)(5)=20-16=4[/tex]
