### Home > AC > Chapter 12 > Lesson 12.2.2 > Problem12-47

12-47.

If $g\left(x\right)=\sqrt{x-3}+1$, find the values below. If there is no solution, justify your conclusion.

1. $g\left(7\right)$

Substitute 7 into the equation.

$\begin{array}{l} g\left(7\right) = \sqrt{7 - 3} + 1 \\ g\left(7\right) = \sqrt{4} + 1 \\ g\left(7\right) = 2 + 1 \end{array}$

$g\left(7\right) = 3$

1. $g\left(4\right)$

$g\left(4\right)=2$

1. $g\left(8\right)$

1. $g\left(2\right)$

Can you take the square root of a negative number?