Question

For the function ​f(x)=x2−9​, find ​(​a)​ f(x+​h), ​(​b)​ f(x+​h)−​f(x), and ​(​c) f(x+h)−f(x) h.

Answer 1

Explanation:

a)

`f(x+h) = 2(x+h)-9`

`f(x+h)=2x+2h-9`

b)

`f(x+h)-f(x)=2x+2h-9-(2x-9)`

`f(x+h)-f(x)=2x+2h-9-2x+9`

`f(x+h)-f(x)=2h`

c)

`f(x+h)-f(x)h=2x+2h-9-h(2x-9)`

`f(x+h)-f(x)h=2x+2h-9-2hx+9h`

`f(x+h)-f(x)h=-2hx+11h+2x-9`