Determin the points of intersection algebraically :

f(x)=-x(squared) +6x-5, g(x)=-4x+19

1 answer

you are solving
-x^2 + 6x - 5 = -4x + 19
-x^2 + 10x - 24 = 0
x^2 - 10x + 24 = 0
(x-6)(x-4) = 0
x = 6 or x = 4

find g(6) and g(4) for the corresponding y values of the two intersection points