Answer:
[tex]f(5)= - 43[/tex]
Step-by-step explanation:
Numerical Value of Functions
A function can be seen as an equation that has only one value of y for every x inputted. It assigns exactly one output to every input value. Our function is defined by
[tex]f(x)=- 2x^2 + 2x - 3[/tex]
To find f(5) we only need to replace the value of x into the given expression.
[tex]f(5)=- 2(5)^2 + 2(5) - 3[/tex]
[tex]f(5)=- 2(25) + 10 - 3[/tex]
[tex]f(5)=- 50 + 10 - 3[/tex]
[tex]\boxed{f(5)=- 43}[/tex]