ANSWER
The two functions have the same range.
EXPLANATION
The given function is
[tex]g(x) = \frac{6}{x} [/tex]
Let:
[tex]y = \frac{6}{x} [/tex]
We solve this equation for x,
[tex]x = \frac{6}{y} [/tex]
x is defined for:
[tex]y \ne0[/tex]
Hence the range is
[tex]y \ne0[/tex]
Also,
[tex]f(x) = \frac{1}{x} [/tex]
Let
[tex]y = \frac{1}{x} [/tex]
[tex]x = \frac{1}{y} [/tex]
The range for this function is also,
[tex]y \ne0[/tex]
Hence the two functions have the same range
