Find the domain of each of the following
\[ f(x)=x^{3}-10 x^{2}+16 x \] \( g(x)=\sqrt{3 x+11} \) \[ h(x)=\frac{x^{2}+7 x+10}{x^{2}-x-12} \]
3) Solve the following equations for \( x \) : \{6 pts each\} a) \( \ln (2 x-15)=0 \) b) \( 81^{2 x-3 = 27^5x +1 c) log5(x+9) - log5(x+3) d) 2^x^2-6x =128