Evaluate the diference quotent

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The discussion focuses on evaluating the difference quotient for the function f(x) = (x + 3)/(x + 1). Participants clarify the expression f(x) - f(1)/(x - 1), suggesting it should be written as (f(x) - f(1))/(x - 1) for proper evaluation. The calculation involves finding f(1), which equals 2, and then simplifying the difference quotient. The goal is to derive and simplify the expression accurately. Overall, the thread emphasizes understanding and correctly applying the difference quotient in calculus.
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Evaluate the difference quotient for the given function, simplify your awnser

f(x)=(x+3)/(x+1)

f(x)-f(1)/(x-1)

HELP PLEASE
 
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Do you know what the difference quotient is? If so, list it please. Also, I'm not for sure what you mean by f(x)-f(1)/(x-1). Is there a typo here?
 
Note that "f(x)- f(1)/(x-1)" means
[math]f(x)- \frac{f(1)}{x- 1}[/math]

Did you mean
[math]\frac{f(x)- f(1)}{x- 1}}[/math]?

If so, please show what you have done. What is f(1)? What is f(x)- f(1)?
 
vorcil said:
Evaluate the difference quotient for the given function, simplify your awnser

f(x)=(x+3)/(x+1)

f(x)-f(1)/(x-1)

HELP PLEASE

f(x)-f(1)/(x-1) = (x+3)/(x+1) - (1+3)/(1+1)/(x-1)
 

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