Respuesta :

apologiabiology
ok, a fun hack

if f⁻¹(a)=b then f(b)=a

so if f⁻¹(7)=b then f(b)=7

to find b, find x such that f(x)=7


7=0.5(3)^x
times both sides by 2 (or divide both sides by 0.5)
14=3^x
take log₃ of both sides
[tex]log_3(14)=x[/tex]

[tex]f^{-1}(7)=log_3(13)[/tex]

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