Question

What do the constants equal

Answer 1

A = 1

B = 2

C = 14

Explanation:

Let's say f(x) = x. Then, f(x+h) = x + h. We can use that same rule in this question.

`f(x)=x^2+14x+49\\(f(x+h)-f(x))/(h)\\ ([(x+h)^2+14(x+h)+49]-(x^2+14x+49))/(h)\\  (x^2+hx+h^2+14x+14h+49-x^2+14x+49)/(h)\\  ((x^2-x^2)+2hx+h^2+(14x-14x)+14h+(49-49))/(h)\\  (hx+2h^2+14h)/(h)\\x+2h+14`

Therefore, A = 1, B = 2, C = 14