### Home > INT3 > Chapter 5 > Lesson 5.1.3 > Problem 5-46

5-46.

Two function machines,

*f*(*x*) = 5*x*– 3 and*g*(*x*) = (*x*– 1)^{2}, are shown at right. Homework Help ✎Suppose

*f*(3),*not x*= 3, is dropped into the*g*(*x*) machine. This is written as*g*(*f*(3)). What is this output?Using the same function machines, what is

*f*(*g*(3))? Be careful! The result is different from the last one because the*order*in which you use the machines has been switched!

*f*(3) = 12

so *g*(*f*(3)) = *g*(12) = 121

*f*(*g*(3)) = 17