we are given
[tex] f(x)=30(1.03)^{3x} [/tex]
we can see that 3 is not present in the options on exponent
so, we will try to get rid of exponent 3
we can write it as
[tex] f(x)=30((1.03)^{3})^{x} [/tex]
now, we know that
[tex] (1.03)^{3}=1.092727 [/tex]
so, we can plug it
and we get
[tex] f(x)=30(1.092727)^{x} [/tex]
so, option-2......................................Answer