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Determine if the function f(x) =3^2x-3is exponential. If it is exponential, determine the base, b, when the function is written in the form f(x) = ab^x

Determine if the function fx 32x3is exponential If it is exponential determine the base b when the function is written in the form fx abx class=

Respuesta :

Given the exponential function:

[tex]f(x)=3^{2x-3}[/tex]

notice that we can write it in the ab^x form in the following way:

[tex]f(x)=3^{2x-3}=3^{-3}\cdot3^{2x}=3^{-3}\cdot(3^2)^x=3^{-3}(9)^x^{}[/tex]

therefore, b = 9

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