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Use the following function rule to find f(0)f(0).\newlinef(x)=9(8)x+9f(x) = 9(8)^x + 9\newlinef(0)=f(0) = \underline{\hspace{3em}}

Full solution

Q. Use the following function rule to find f(0)f(0).\newlinef(x)=9(8)x+9f(x) = 9(8)^x + 9\newlinef(0)=f(0) = \underline{\hspace{3em}}
  1. Identify Function: Identify the function which represents f(0)f(0).\newlineSubstitute in 00 for xx in f(x)=9(8)x+9f(x) = 9(8)^x + 9.\newlinef(0)=9(8)0+9f(0) = 9(8)^0 + 9
  2. Substitute and Evaluate: Evaluate 9(8)09(8)^0.\newlineSince any number to the power of 00 is 11, 80=18^0 = 1.\newlineTherefore, 9(8)0=9×1=99(8)^0 = 9 \times 1 = 9.
  3. Determine Value: f(0)=9+9f(0) = 9 + 9\newlineDetermine the value of f(0)f(0).\newlinef(0)=9+9f(0) = 9 + 9\newlinef(0)=18f(0) = 18

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