Question

If f(x)=(x=8)^2, use the difference quotient to find Ax+Bh+C.
A=2 B=1 C=?

Answer 1

Hi, re-write the f(x), (x=8)^2 means?

Answer 2

f(x)=(x+8)^2

Answer 3

sorry about that

Answer 4

expand followed the formula of (a +b)^2 = a^2 +2ab +b^2. your a is x, your b is 8. then you get .... Let me know the result. and then i guide you more

Answer 5

\[\frac{ f(x+h)-f(x) }{ h }= Ax+ Bh+ C\]
A=2
B=1

Answer 6

that is the formula for limit, right?

Answer 7

I have C=1/16. what do you think?

Answer 8

oh, sorry, I make mistake, not that. a moment

Answer 9

okay, i've been working on this forever. no it's difference quotient. 1/16 is incorrect. I got zero but that's wrong as well

Answer 10

wait a moment , i nearly got it.

Answer 11

please, let check whether C =14

Answer 12

No, it must be C=16

Answer 13

\[f(x) = (x+8)^2 = x^2 +16x+64
\[f(x+h) = (x+h+8)^2 = x^2 +2xh +16x+h^2+16h+64\]

Answer 14

combine them into the your formula to get \[\frac{ 2xh+h^2+16h }{h}= 2x+h+16\]

Answer 15

you have A=2; B=1 and C=16.
Hope this is right

Answer 16

that's correct. thanks a ton