### Home > PC > Chapter 1 > Lesson 1.4.2 > Problem 1-152

1-152.

Given *f*(*x*) = *x*^{2} − 2*x* + 5 and *g*(*x*) = *x* − 3, for what value(s) of *x* does *f*(*g*(*x*)) = 8? Homework Help ✎

Substitute the *g* function into the *f* function and set it equal to 8.

*f*(*x* – 3) = 8

(*x* – 3)^{2} – 2(*x* – 3) + 5 = 8