Question

Given f(x)=x^3-6x^2+9x and g(x)=4.

Find the coordinates of the points common to the graphs of f and g.
-find all zeros of f
-if the domain of f is limited to the closed interval [0,2], what is the range of f?

Answer 1

1. solve y = x^3 - 6x^2 + 9x and y =4

which mean

4 = 4x^3 - 6x ^2 + 9x
These are the x coordinates, in whihc the y coordinate will be g(x) = 4

Next solve for F(x)=0 to find the zeros of f

Hope this helps