### Home > PC > Chapter 1 > Lesson 1.4.2 > Problem1-152

1-152.

​Given $f(x)=x^2-2x+5$ and $g(x)=x-3$, for what value(s) of $x$ does $f(g(x))=8$

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

$f(x-3)=8$

$(x-3)^2-2(x-3)+5=8$