Answer:
2 solutions (x = 0 and x = 2)
Step-by-step explanation:
The graph of the below functions is as shown below;
![\begin{gathered} f(x)=2^x \\ g(x)=(3)/(2x)+1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fubdsgv5bvlvzka0x6gbappev79cqt9xes.png)
We can see from the graph that solutions of the equation f(x) = g(x) are x = 0 and x = 2. These are points of intersection of f(x) and g(x).
So there are two solutions of the equation f(x) = g(x).