This is the problem that I have been struggling with the whole weekend:
Find the difference quotient of:
g(x) = (x+1) / (x-3)
g(x) = [ ( (x+h)+1/(x+h)-3 ) - (x+1)/(x-3) ] / h
Is the LCD
1) (x-3)(x+h)-3 or
Because grouping changes the whole answer...also, if it's choice 1, is the (-3) at the end of the LCD multiplied times the numerators as well or is it just added after you multiply the rest of the LCD??