Question

Please answer question 14 for me please! 40 points.

Answer 1

Answer: = 2-2x-h

Explanation:

Formula for difference of quotients:

=
`(f(x+h) -f(x))/(h)` if f(x) = 2x-x² for each x you will put in x+h

=
`(2(x+h)-(x+h)^(2 )-(2x-x^(2)) )/(h)`

`=(2(x+h)-(x^(2) +2xh +h^(2) )-2x+x^(2) )/(h)`

`=(2x+2h-x^(2) -2xh -h^(2) -2x+x^(2) )/(h)`

`=(2h -2xh -h^(2))/(h)`

= 2-2x-h