Step-by-step explanation:
First, let find the inverse of f(x).
[tex]y = \frac{6}{x} [/tex]
[tex]x = \frac{6}{y} [/tex]
[tex]y = \frac{6}{x} [/tex]
Even tho it the same, plug that in g(f(x).
[tex]2( \frac{6}{x} ) + 3[/tex]
[tex] \frac{12}{x} + 3[/tex]
[tex] \frac{12 + 3x}{x} [/tex]
So g(x)= 12+3x/x.
