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)/h. Find the difference quotient for the following functio

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Question 1006160: In College Algebra we begin to work with and simplify the difference quotient, which is given by the formula f(x+h)-f(x)/h. 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 = ______________________

Found 2 solutions by josgarithmetic, AnlytcPhil:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The function shows blank characters and not actual variables. Your function would begin as . If you follow the prompts in sequence for your question, you will find that the difference quotient value will be 5.
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
The function f(x) = (𝑥)=5𝑥−4 did not come out on this site.
So I'll just make up an arbitrary function for f(x):

Say f(x) = 2x²-3x+4

1.	Find f(x+h) = 2(x+h)²-3(x+h)+4
	     f(x+h) = 2(x²+2hx+h²)-3x-3h+4  
             f(x+h) = 2x²+4hx+2h²-3x-3h+4 

2.	Find f(x) = 2x²-3x+4

3.	Find f(x+h)–f(x) = (2x²+4hx+2h²-3x-3h+4)-(2x²-3x+4) 
             f(x+h)–f(x) = 2x²+4hx+2h²-3x-3h+4-2x²+3x-4
             f(x+h)–f(x) = 4hx+2h²-3h
             f(x+h)=f(x) = h(4x+2h-3) 

4.      Find 
             
             


Edwin
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