Question

multiple choice
$g(x)=\frac{2}{5}x + 3$
if $g(x)=7$, what is the value of $x$?
be sure to complete the first part of problem d in your lesson companion.
a $x = \frac{29}{5}$
b $x = -\frac{1}{5}$
c $x = -3$
d $x = 10$

Explanation:

Step1: Substitute g(x)=7 into function

$$7 = \frac{2}{5}x + 3$$

Step2: Subtract 3 from both sides

$$7 - 3 = \frac{2}{5}x$$
$$4 = \frac{2}{5}x$$

Step3: Solve for x by multiplying by $\frac{5}{2}$

$$x = 4 \times \frac{5}{2}$$
$$x = 10$$

Answer:

D. $x=10$