Question

1 Let f(x) Expand and simplify: 2x - 9 f(x + h) - f(x) h - (Enter your answer in reduced form)

Answer 1

We have the following function given:

`f(x)=(1)/(2x-9)`

and we want to find:

`(f(x+h)-f(x))/(h)`

Replacing we have:

`((1)/(2(x+h)-9)-(1)/(2x-9))/(h)=((2x-9-2x-2h+9)/((2(x+h)-9)(2x-9)))/(h)`

And if we simplify we got:

`(-2h)/(h\lbrack(2x+2h-9)(2x-9)\rbrack)=(-2)/((2(x+h)-9)(2x-9))`