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From the graph above;
g(x) is a function where it is moved upward and to the left of the blue graph f(x)
Since it is moved to the left by 3 units and upwards by 2 units, the function becomes;
[tex]g(x)=e^{(x+3)}+2[/tex]Hence, the equation for g(x) is;
[tex]g(x)=e^{(x+3)}+2[/tex]