Please Find the difference quotient
f(x+h)-fx/h for f(x)= 4x-9 and simplify
put x+h in f(x) to get 4x+4h-9
then subtract 4x+9 then divide by h
This is what I got, is it correct? Thanks!
4x+4h-9+ (-4x+9)/h
4x-4x= 4h-9+9/h
= 4h/h
=4
Your answer is correct, but it is preferable to place parentheses where they are needed to avoid ambiguity, for example:
(4x+4h-9+ (-4x+9))/h
(4x-4x + 4h-9+9)/h
= 4h/h
=4
To find the difference quotient for the function f(x) = 4x - 9, we can follow these steps:
Step 1: Start with the given function f(x) = 4x - 9.
Step 2: Replace f(x) with the given function 4x - 9 in the difference quotient formula.
Difference quotient = [f(x + h) - f(x)] / h
= [(4(x + h) - 9) - (4x - 9)] / h
= (4x + 4h - 9 - 4x + 9) / h
= (4x - 4x + 4h - 9 + 9) / h
= (4h) / h
Step 3: Simplify the difference quotient.
= 4
Therefore, the difference quotient for the function f(x) = 4x - 9 simplifies to 4.