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
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)/h. Find the difference quotient for the following functio
Log On
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:
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.
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