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

1-173.

For

and *g*(*x*) = −*x*+ 2, find and simplify*h*(*x*) =*f(g*(*x*)) Homework Help ✎Graph

*h*(*x*) and write its domain in set notation.Find

*b*(*x*), the end behavior function of*h*(*x*).

*D* = *x* : *x* ≠ −1

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*).