Math
posted by michelle .
Find f(a), f(a + h),
and the difference quotient
f(a + h) − f(a)

h
,
where h ≠ 0.
f(x) = 4 − 6x + 7x2
f(a)=
f(a + h) =
f(a + h) − f(a)
 =
h

f(x) = 4 − 6x + 7x2
7(x + h)^2 6(x+h) +4(7x^2 6x +4))/h
7( x^2 xh+ xh + h^2) 6x 6h + 4 7x^2 +6x 4))/h
(7x^2 +14xh + 7h^2 6x 6h +4 7x^2 + 6x 4)/h
(14xh + 7h^2 6h)/h
h(14x +7h 6)/h
14x + 7h 6
lim(h>0) 14x + 7h 6 = 14x 6