SOLUTION: In College Algebra we begin to work with and simplify the difference quotient, which is given by the formula f(x+h)-f(x). Find the difference quotient for the following function
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Question 1006175: In College Algebra we begin to work with and simplify the difference quotient, which is given by the formula f(x+h)-f(x). Find the difference quotient for the following function by completing the following steps:
(x)=5x-4
1. Find f(x + h) = __________________________
2. Find f(x) = ____________________________
3. Find f(x+h) – f(x) = ______________________
4. Find = ______________________
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming the given function is f(x) = 5x-4
================================================
1)
f(x) = 5x-4
f(x+h) = 5(x+h)-4 ... replace every x with x+h
f(x+h) = 5x+5h-4
================================================
2)
f(x) = 5x-4
================================================
3)
f(x+h) = 5x+5h-4
f(x) = 5x-4
f(x+h)-f(x) = (5x+5h-4) - (5x-4)
f(x+h)-f(x) = 5x+5h-4 - 5x+4
f(x+h)-f(x) = (5x-5x)+5h+(-4+4)
f(x+h)-f(x) = (0x)+5h+(0)
f(x+h)-f(x) = (0)+5h+(0)
f(x+h)-f(x) = 5h
================================================
4)
This part is blank, but I'm going to assume you meant to write
f(x+h)-f(x) = 5h
So in the end, when
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