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The function p(x)=(0.6)(3x) p(x) = (0.6)(3^x) is defined. What is the value of p(2) p(2) ?

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Full solution

Q. The function p(x)=(0.6)(3x) p(x) = (0.6)(3^x) is defined. What is the value of p(2) p(2) ?
  1. Identify Function and Value: Identify the function and the value of xx for which we need to find p(x)p(x). The function given is p(x)=(0.6)(3x)p(x) = (0.6)(3^x), and we need to find the value of p(2)p(2).
  2. Substitute xx with 22: Substitute xx with 22 in the function p(x)p(x).
    p(2)=(0.6)(32)p(2) = (0.6)(3^2)
  3. Calculate 323^2: Calculate the value of 323^2. \newline32=3×3=93^2 = 3 \times 3 = 9
  4. Multiply by 00.66: Multiply the result from Step 33 by 0.60.6 to find p(2)p(2). \newlinep(2)=(0.6)×9p(2) = (0.6) \times 9
  5. Perform Final Multiplication: Perform the multiplication to get the final result. p(2)=5.4p(2) = 5.4

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