Respuesta :

Answer: Choice A) 1/9

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Work Shown:

Replace every x with -4 and then simplify the right side

f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9

Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones. 

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