Given x + (4/x) finding the difference quotient I am wondering how to get started.
I don't know why but, for the life of me I can't clear the fractions and I keep thinking no matter what I do i'm not going to end up with like denominators.
I have gotten use to doing difference quotient by itself.. but, given whole's and fractions here my head is sorta spinning... I haven't missed the D.Q. much at all lately thats for sure.
I am trying to clear the top ((x+h) + (x/4) - (x + (4/x) and I am not quite sure how to go about doing this because, I keep thinking if I multiply by (x + h) it is going to complicate the fraction more than it should.. and still not get like denominators for (4/x) and (4/(x+h))...
I'm not sure if it is just my instructors preference or if there are more "rules" regarding it off the top of my head.
However, I know it has always been emphasized to me to never cancel out a letter when it is being added on the top of the fraction. The only time we have been allowed to cancel is when a number is being factored out.
ex. x(x+h)/x
well you can cancel x because its being multiplied. 1 * 1 = 1.so it would be the same as 1(x+)/1 where as with your addition.. I am not saying it is incorrect.. however, it is a bit harder to follow.
you canceled out h+(fract) over h by rewriting it as 1 + canceling h off the bottom and top however, last I checked you could not cancel h out like that because it was being added.. you could only cancel in fractions if something was being multiplied not if it was being added/subtracted.