### Home > PC > Chapter 1 > Lesson 1.2.1 > Problem1-73

1-73.

Given $f\left(x\right) = x^{2} + x$ and $g\left(x\right) = x + 1$, find:

1. $g\left(f\left(x\right)\right)$

Substitute $\left(x^{2} + x\right)$ for every x in the g function.

2. $f\left(g\left(x\right)\right)$

Substitute $\left(x + 1\right)$ for every $x$ in the $f$function.

3. For what value(s) of $x$ will $f\left(g\left(x\right)\right) = 2$?

$x^{2} + 3x +2 = 2$

Now set the equation equal to 0 and solve.