SOLUTION: Find and simplify f(a+h)-f(a)/h (that is all over h by the way not just f(a) but the f(a+h) part too. (h cannot be 0) for the function f(x)=2-8x^2 thank you so much!

Question 122559: Find and simplify f(a+h)-f(a)/h (that is all over h by the way not just f(a) but the f(a+h) part too. (h cannot be 0) for the function f(x)=2-8x^2
thank you so much!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find and simplify f(a+h)-f(a)/h (that is all over h by the way not just f(a) but the f(a+h) part too. (h cannot be 0) for the function f(x)=2-8x^2
---------
f(a+h) = 2 - 8(a+h)^2 = 2-8(a^2+2ah++h^2)
= 2 -8a^2 -16ah -9h^2
-------------
f(a) = 2 -8a^2
----------------
Subtracting f(a) from f(a+h) you get;
-16ah - h^2
-----------------
Dividing that result by h you get:
-16a -h
==========================
Cheers,
StanH.
RELATED QUESTIONS
Find f(a), f(a+h), and the difference quotient f(a+h)-f(a)/h, where h is unequal to 0.... (answered by josgarithmetic)

Let f(x)=9+x+x ^2 and h not equal to 0. a. is f(8+1) = f(8)+f(1)? Yes or No (I... (answered by solver91311)

Find f(a), f(a + h),and the difference quotient f(a + h) − f(a)/ h where h... (answered by Fombitz)

Find f(a), f(a + h), and the difference quotient f(a + h) − f(a)/h. where h... (answered by Alan3354,stanbon)

Find and simplify (f(a+h)-f(a)) / (h) (h not equal to 0) for the following... (answered by josgarithmetic,MathTherapy)

Find f(a), f(a + h),and the difference quotient f(a + h) − f(a)/h, where h ≠... (answered by Fombitz)

In the study of calculus, the difference quotient f(a+h)-f(a)/h is often found and... (answered by stanbon)

Find and simplify the difference quotient of f, f(x+h)-f(x)/h, h not= 0, for the... (answered by lynnlo)

find and simplify f(a+h)-f(a)/h (h ≠ 0) for the function... (answered by josgarithmetic)