Under a transformation, a preimage and its image are both squares with side length 3. the image, however, is rotated with respect to the preimage. is the transformation a rigid motion? explain.

(F.g(x))=x^2-10x+24

Step-by-step explanation:

when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,

so f(x)=x^2-6x+8

and we will put x-2 which is g(x) in the place of every x

so f(g(x))=(x-2)^2-6(x-2)+8

so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8

which simplifies to f(g(x))=x^2-10x+24