Question

multiple choice
$g(x)=\frac{2}{5}x + 3$
if $g(x)=1$, what is the value of $x$?
be sure to complete the second part of problem d in your lesson companion.
a $x = -5$
b $x = 3$
c $x = -\frac{1}{5}$
d $x = \frac{29}{5}$

Explanation:

Step1: Substitute $g(x)=1$

$1 = \frac{2}{5}x + 3$

Step2: Subtract 3 from both sides

$1 - 3 = \frac{2}{5}x$
$-2 = \frac{2}{5}x$

Step3: Solve for $x$ (multiply by $\frac{5}{2}$)

$x = -2 \times \frac{5}{2}$
$x = -5$

Answer:

A. $x = -5$