User the function f(x)=3x2+5\displaystyle {f{{\left({x}\right)}}}={3}^{{{x}-{2}}}+{5} to answer the following:

(a) Determine the equation of the asymptote of f(x)\displaystyle {f{{\left({x}\right)}}}.

 

(b) Determine the domain of f(x)\displaystyle {f{{\left({x}\right)}}} in interval notation.

 

(c) Determine the range of f(x)\displaystyle {f{{\left({x}\right)}}} in interval notation.