# If g(x) = 2x-5, how do you find g(x)=1/3?

Jun 5, 2015

Possibility 1
You want to find the value of $x$ for which $g \left(x\right) = \frac{1}{3}$ given $g \left(x\right) = 2 x - 5$
$\textcolor{w h i t e}{\text{XXXX}}$$2 x - 5 = \frac{1}{3}$
$\textcolor{w h i t e}{\text{XXXX}}$$6 x - 15 = 1$
$\textcolor{w h i t e}{\text{XXXX}}$x = 16/6 = 8/3#

Possibility 2
You want to find the value of $g \left(x\right)$ when $x = \frac{1}{3}$
$\textcolor{w h i t e}{\text{XXXX}}$$g \left(\frac{1}{3}\right) = 2 \left(\frac{1}{3}\right) - 5$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$= \frac{2}{3} - 5$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$= - 4 \frac{1}{3}$