Perform the required operations on the following functions given: f(x)= 3-x; g(x)= -2x find g[f(x)]

ANSWER



EXPLANATION

The given functions are;


and



We now find



We plug in f(x) into g(x) to get,



We expand parenthesis to get,



Or

Idon't see any graph, however the graph of the function : f(x) = x²-2x+3 is a parabola: 1) open upward (since a> 0)2) it intersects y-axis in 3 (y=3)3) its axis of symmetry is x = +1 ( -b/2a)4) it's minimum is y = -2, so its vertex is (1,-2)5) it doesn't intersect the x-axis since discriminant < 0