### Home > PC > Chapter 1 > Lesson 1.1.4 > Problem 1-53

1-53.

*h*(*x*) = *h*(*x*)? On your calculator enter Y1 = 2*f*(*g*(*h*(*x*))). Is your graph what you expected? Why do you think this occurred? Homework Help ✎

The graph does not give a full line. The line starts at (−2,3) and then follows the line *y* = 2*x* + 7.

Since *h*(*x*) is defined for only values of *x* ≥ −2, the composite function is only defined for *x* ≥ −2.