If f is any rigid motion and T is any translation, identify the rigid motion T o f o T^(-1).

Can I split the f into three reflections since there is a theorem that says "Every rigid motion is the composition of at most three relfections and every rigid motion is a translation, a rotation, or a glide relfection"?

My intuition tells me that the final answer would be f by itself since T o T^(-1) will be cancelled out ... I just guess.