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Finding the difference quotient?
f(x) = x²-8x , (f(x+h)-f(x))/h
I solved this and got 2x+h-8 after simplifying. Just wanted to know if this is right. Please show work so i can check it against mine.
1 Answer
- ?Lv 41 decade agoFavorite Answer
f(x) = x²-8x
f(x+h) = (x+h)²-8(x+h)
.........= x^2 + 2xh + h^2 - 8x - 8h
f(x+h)-f(x) = (x^2 + 2xh + h^2 - 8x - 8h) - (x² - 8x)
...............= 2xh + h^2 - 8h
...............= h(2x + h - 8)
(f(x+h)-f(x))/h = h(2x + h - 8) / h
...................= 2x + h - 8
You did it right.