Find f(a), f(a+h), and the difference quotient f(a+h)-f(a)/h

Question

f(x)=6x^2+7

what is

f(a)=

f(a+h)=

f(a+h)-f(a)/h

Answer 1

Hi Fatima

1) f(a)= 6a^2+7

2) f(a+h)= 6(x+h)^2+7

= 6(x^2+2xh+h^2)+7

=6x^2+12xh+6h^2+7

f(a+h)-f(a)/h = [ (6x^2+12xh+6h^2+7) - (6a^2+7)] /h

= (12xh+6h^2)/h

= h(12x+6h)/h

= 12x+6h

Good luck!