Algebra

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Please Find the difference quotient

f(x+h)-fx/h for f(x)= 4x-9 and simplify

  • Algebra -

    put x+h in f(x) to get 4x+4h-9
    then subtract 4x+9 then divide by h

  • Algebra -

    This is what I got, is it correct? Thanks!

    4x+4h-9+ (-4x+9)/h
    4x-4x= 4h-9+9/h
    = 4h/h
    =4

  • Algebra -

    Your answer is correct, but it is preferable to place parentheses where they are needed to avoid ambiguity, for example:

    (4x+4h-9+ (-4x+9))/h
    (4x-4x + 4h-9+9)/h
    = 4h/h
    =4

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