Find (fog)(x) when f(x)=2/x+3 and g(x) = 1/2x

Answer:
1st option
Step-by-step explanation:
To obtain (f ○ g)(x) , substitute x = g(x) into f(x)
(f ○ g)(x)
= f(g(x)
= f([tex]\frac{1}{2x}[/tex] )
= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex]
= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex] × [tex]\frac{2x}{2x}[/tex]
= [tex]\frac{4x}{1+6x}[/tex]