Question

I have f(x)=x^2+x+5. Then (f(x)-f(a))/(x-a).

Answer 1

(f(x) -f(a))/(x -a) = x +a +1

Explanation:

(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)

= ((x -a)(x +a) +(x -a))/(x -a) = x +a +1

(f(x) -f(a))/(x -a) = x +a +1