The given expression is:
[tex]g(x_{})\text{ = }\frac{1}{2x}+3[/tex]Finding g(8) means finding the value of g(x) when x = 8
Therefore, to get g(8), substitute x = 8 into the expression for g(x)
[tex]g(8)\text{ = }\frac{1}{2(8)}+3[/tex][tex]g(8)\text{ = }\frac{1}{16}+\frac{3}{1}[/tex]The next step is to find the LCM. The LCM of 16 and 1 is 16
[tex]g(8)\text{ = }\frac{1+3}{16}[/tex][tex]g(8)\text{ = }\frac{4}{16}[/tex][tex]g(8)=\frac{1}{4}=0.25[/tex]