f(x+h)-f(x)/h f(x)=31-13x

Question

 For the given function, find f(x+h)-f(x)/h 

 f(x)=31-13x

 This is for my Algebra 3 class

Answer 1

f(x+h) = 31 -13(x+h) = 31 - 13x - 13h

 

 

[f(x+h) - f(x)] / h  <---- not to be picky but notice the square braces.

                                            They make a difference per order of mixed operations

 

 

(31 - 13x - 13h) - (31 - 13x)

--------------------------------

            h

 

31 - 13x - 13h - 31 + 13x

-----------------------------

           h

 

-13h/h 

 

= -13