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:
\[
\mathrm{g}(3)
\]

Answer

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Answer

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

Steps

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: \(\boxed{4096}\)