Given the following functions: \[ \begin{array}{l} \mathrm{f}(\mathrm{x})=3 \mathrm{x}-2 \\ \mathrm{~g}(\mathrm{x})=4^{\mathrm{x}+3} \\ \mathrm{~h}(\mathrm{x})=\mathrm{x}^{2}+1 \end{array} \] Compute the following: \[ \mathrm{g}(3) \]

Step 1 ：Given the function g(x) = 4^(x+3)

Step 2 ：We are asked to find the value of g(3)

Step 3 ：Substitute x = 3 into the function

Step 4 ：So, g(3) = 4^(3+3) = 4^6

Step 5 ：Calculate the value of 4^6

Step 6 ：So, g(3) = 4096

Step 7 ：Final Answer: \(\boxed{4096}\)