ANSWER
See explanation.
EXPLANATION
Step 1
Graph each of the functions.
[tex]f(x) = ( \frac{1}{2} )^{x - 3} [/tex]
and
[tex]g(x) = 3x + 5[/tex]
Step 2
Look for the point of intersection of the two graphs.
From the graph, the two functions intersected at
(0.38,6.14)