Answer :

The pre-image is

[tex]f(x)=2^x[/tex]

The image is

[tex]g(x)=3(2^{x+1})-4[/tex]

According to g(x), the function was shifted 1 unit to the left, and 4 units down. Also, it was vertically stretched by a factor of 3.

Hence, the answer is the last choice.

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