Find the value of [𝑓(𝑥)−𝑓(3)]/x-3 for each of the following functions 𝑓(𝑥)=3𝑥^2 −2𝑥+1

Question

Find the value of [𝑓(𝑥)−𝑓(3)]/x-3 for each of the following functions

𝑓(𝑥)=3𝑥^2 −2𝑥+1

Answer 1

Hey Mary,

Although it is not necessary, breaking this problem into pieces might help. You want

(f(x)-f(3))/ (x - 3)

you are given f(x) = 3x²-2x+1

So find f(x=3) = f(3) = 3(3)² -2(3)+1 = 3*9 -6 +1 = 27 -5 = 22

Thus

(f(x)-f(3))/ (x - 3) = (3x²-2x+1 -22) / (x-3)

= (3x²-2x-21) / (x-3)

Ill leave the last steps of factoring the numerator and simplifying for you. Hope this helps.