# How do you find g(x+2) given g(x)=3x-5?

Oct 1, 2016

$g \left(x + 2\right) = 3 x + 1$

#### Explanation:

$g \left(x\right) = 3 x - 5$

To find $g \left(x + 2\right)$, substitute $\left(x + 2\right)$ for $x$

$g \left(x + 2\right) = 3 \left(x + 2\right) - 5$

$g \left(x + 2\right) = 3 x + 6 - 5 \textcolor{w h i t e}{a a a a}$ Distribute the 3

$g \left(x + 2\right) = 3 x + 1$