Difference quotient f(x+h)-f(x) / h for y=4x-x^2 please show work

I believe the question wants you to use y = 4x-x^2 as your function, f.

Therefore:f(x+h) = 4(x+h) - (x+h)^2f(x) = 4x-x^2f(x+h) - f(x) / h*PLUG IN above values(4(x+h) - (x+h)^2) - (4x - x^2) / h*EXPAND the squared polynomial and DISTRIBUTE negative(4x + 4h - (x^2 + 2xh + h^2) - 4x + x^2) / h*DISTRIBUTE negative(4x + 4h - x^2 - 2xh - h^2 - 4x + x^2) / h*COMBINE like terms(4h - 2xh) / h*DIVIDE by h4 - 2x

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