### Home > APCALC > Chapter 1 > Lesson 1.4.3 > Problem 1-173

1-173.

If *f*(*x*) = *g*(*x*) = −*x* + 2, write an equation for *h*(*x*) = *f(g*(*x*)). Homework Help ✎

Graph

*y*=*h*(*x*) and write its domain in set notation.*D*=*x*:*x*≠ −1Write an equation the end-behavior function of

*h*.The end behavior of

*h*(*x*) will describe what*h*(*x*) looks like in the end (as*x*→∞ and as*x*→−∞). Holes and vertical asymptotes are ignored. Observe the graph in part (a). Notice that the graph of*h*(*x*) is almost linear. What is the equation of this line? That line, by the way, is*b*(*x*), the end behavior of*h*(*x*).