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Use the following function rule to find f(12). {:[f(x)=7x+2x^(2)-7],[f(12)=◻]:}

Use the following function rule to find f(12) f(12) .\newlinef(x)=7x+2x2−7f(12)=□ \begin{array}{l} f(x)=7 x+2 x^{2}-7 \\ f(12)=\square \end{array}

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Quotient property of logarithmsright chevron icon

Full solution

Q. Use the following function rule to find f(12) f(12) .\newlinef(x)=7x+2x2−7f(12)=□ \begin{array}{l} f(x)=7 x+2 x^{2}-7 \\ f(12)=\square \end{array}
  1. Identify Function Rule: Identify the function rule and the input value.\newlineThe function rule given is f(x)=7x+2x2−7f(x) = 7x + 2x^2 - 7, and we need to find the value of f(12)f(12).
  2. Substitute Input Value: Substitute the input value into the function rule.\newlineReplace xx with 1212 in the function rule to evaluate f(12)f(12).\newlinef(12)=7(12)+2(12)2−7f(12) = 7(12) + 2(12)^2 - 7
  3. Perform Multiplication: Perform the multiplication.\newlineCalculate the terms 7(12)7(12) and 2(12)22(12)^2.\newline7(12)=847(12) = 84\newline2(12)2=2(144)=2882(12)^2 = 2(144) = 288
  4. Combine Terms: Combine all terms to find the value of f(12)f(12).f(12)=84+288−7f(12) = 84 + 288 - 7
  5. Perform Addition and Subtraction: Perform the addition and subtraction.\newlineCalculate the sum of 8484 and 288288, then subtract 77.\newlinef(12)=372−7f(12) = 372 - 7\newlinef(12)=365f(12) = 365

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