How to simplify this expression?

Question

For the function f(x)=x²-x-6, simplify the expression f(x)-(3)/x-3 I need an explanation also.

Answer 1

note that f(x) in factored form is (x-3)(x+2).

 

note that what you are asking about SHOULD BE:  f(x) - f(3)]  / (x-3).  This is known as the difference quotient.

 

note that, on this platform, you must enclose the complete numerator and the complete denominator in grouping symbols in order to evaluate correctly.