exam Maths Puzzle Numerical Ability

find the domain of the following: I need help I am so lost
f(t)=4.5e^t
g(x)=log(x+3)
g(x)=2^x
g(t)-ln(t-1)

what I came up with is f(t)=4.5(2.7183)^t
gx=x^3 or gx=3x and that is where I am at I need major help

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