Question

F(x)= 1/(x+5)

Then f(x+h)-f(x)/h = A/(x+B)(x+Ch+D)

A=-1
B=5
C=1
Find D

Answer 1

\[f(x)=\frac{ 1 }{ x+5 }\]

Answer 2

\[\frac{ f(x+h)-f(x) }{ h }= \frac{ A }{ (x+B)(x+Ch+D) }\]

Answer 3

\[\frac{ -1 }{ x^2+10x+hx+h^2+25 }\]

Answer 4

A=-1
B=5
C=1
I can't figure out D