ANSWER
[tex]f(x) = 4( {3}^{x} ) + 2[/tex]
EXPLANATION
The exponential function in the form
[tex]f(x) = a( {b}^{x} ) + c[/tex]
has a horizontal asymptote of
[tex]y = c[/tex]
The given exponential function is:
[tex]f(x) = 4( {3}^{x} ) + 2[/tex]
The horizontal asymptote is therefore
[tex]y = 2[/tex]
