Question 1144618
Let f(x)=8+5x−x^2. )the difference quotient f(8+h)−f(8)/h.
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It it's {{{(f(8+h)-f(8))/h}}}
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find f(8+h)
Wherever there's x, replace it with 8+h
f(8+h) = 8 + 40+5h -(64+16h+h^2) = -h^2 -11h - 16
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Find f(8)
f(8) = 8+40-64 = -16
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Subtract
f(8+h)−f(8) = -h^2 - 11h
Divide by h
---> -h - 11