Answer : 0.0125
Suppose that g (x) varies inversely with x and g (x)=0.2 when x = 0.1.
If x varies inversely with y then y=k/x
Where k is constant of proportionality
g (x) varies inversely with x , so [tex]g(x) = \frac{k}{x}[/tex]
g (x)=0.2 when x = 0.1
Plug in the values and solve for k
[tex]g(x) = \frac{k}{x}[/tex]
[tex]0.2 = \frac{k}{0.1}[/tex]
Multiply 0.1 on both sides
0.02 = k
so [tex]g(x) = \frac{0.02}{x}[/tex]
Now we need to find g(x) when x= 1.6
Plug in 1.6 for x and find out g(x) in the above equation
[tex]g(x) = \frac{0.02}{1.6}[/tex]
g(x)= 0.0125
