Mark M. answered 03/11/22
Retired math prof. Very extensive Precalculus tutoring experience.
(f(x)-f(3)) / (x-3) = (1+5x-5x2+29) / (x-3) = [-5(x2-x-6)] / (x-3) = -5(x-3)(x+2)/(x-3) = -5x - 10
Anjela R.
asked 03/11/22Find the difference quotient 𝑓(𝑥)−𝑓(3)/𝑥−3 when 𝑓(𝑥)=1+5𝑥−5𝑥^2. Simplify the expression fully as if you were going to compute the limit as 𝑥→3. In particular, cancel common factors of 𝑥−3 in the numerator and denominator if possible. (Use symbolic notation and fractions where needed.)
𝑓(𝑥)−𝑓(3)/𝑥−3=
Mark M. answered 03/11/22
Retired math prof. Very extensive Precalculus tutoring experience.
(f(x)-f(3)) / (x-3) = (1+5x-5x2+29) / (x-3) = [-5(x2-x-6)] / (x-3) = -5(x-3)(x+2)/(x-3) = -5x - 10
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