SOLUTION: DIFFERENCE OF QUOTIENT: Find f(a), f(a + h),and the difference quotient f(a + h) − f(a) /h,where h ≠ 0. f(x) = 5/(x + 4) f(a) = f(a + h) = (f(a + h)

Question 901885: DIFFERENCE OF QUOTIENT:
Find f(a), f(a + h),and the difference quotient
f(a + h) − f(a) /h,where h ≠ 0.
f(x) = 5/(x + 4)
f(a) =
f(a + h) =
(f(a + h) − f(a))/h=

PLEASE EXPLAIN HOW THESE TYPE OF PROBLEMS ARE SOLVED
THANK YOU!!!!
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
[f(a+h)-f(a)]/h,where h ≠ 0.
f(x)=5/(x+4)

The best way to do the difference quotient is to do it in steps.

If it contains no square roots of variables:

1. Find f(a+h) and simplify if possible.
2. Find f(a+h)-f(a) and simplify if possible. Every term that 
   contains no h should cancel.  Factor out h if necessary.  
3. Find [f(a+h)-f(a)]/h and cancel the h factor. If step 2 is 
   a fraction, change division by h to multiplication by .   

[If it contains a square root, multiply and divide by the conjugate first. You don't have that here]



1.  
    

2.  
    Get LCD of (a+h+4)(a+4)
     
    
    
    
        

3.  
    
    
Edwin

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SOLUTION: DIFFERENCE OF QUOTIENT: Find f(a), f(a + h),and the difference quotient f(a + h) &#8722; f(a) /h,where h &#8800; 0. f(x) = 5/(x + 4) f(a) = f(a + h) = (f(a + h)

SOLUTION: DIFFERENCE OF QUOTIENT: Find f(a), f(a + h),and the difference quotient f(a + h) − f(a) /h,where h ≠ 0. f(x) = 5/(x + 4) f(a) = f(a + h) = (f(a + h)