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

Algebra ->  Rational-functions -> 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       Log On


   

Question 1006174: 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:

f(x)=5x-4

1. Find f(x + h) = __________________________



2. Find f(x) = ____________________________



3. Find f(x+h) – f(x) = ______________________



4. Find = ______________________

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%2Bh%29=5%28x%2Bh%29-4

f%28x%2Bh%29-f%28x%29=5%28x%2Bh%29-4-%285x-4%29=5%28x%2Bh%29-4-5x%2B4=5%28x%2Bh%29-5x
whichEquals=5x%2B5h-5x=5h

The difference quotient then is formed as highlight_green%28%285h%29%2Fh=5%28h%2Fh%29=5%2A1=highlight_green%285%29%29.