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f(x) = \begin{cases} -x4-4 & , & x<33 \ x^227-7 & , & 33\leq x \leq1010\ \dfrac{120120}{x}+55 & , & x > 1010\end{cases} f(44)=\newlineA) 99\newlineB) 1-1\newlineC) 77\newlineD) 1616

Full solution

Q. f(x) = \begin{cases} -x4-4 & , & x<33 \ x^227-7 & , & 33\leq x \leq1010\ \dfrac{120120}{x}+55 & , & x > 1010\end{cases} f(44)=\newlineA) 99\newlineB) 1-1\newlineC) 77\newlineD) 1616
  1. Identify Function Piece: Identify which piece of the function to use for x=4 x = 4 .\newlineSince 3410 3 \leq 4 \leq 10 , we use f(x)=x27 f(x) = x^2 - 7 .
  2. Substitute x = 44: Substitute x=4 x = 4 into f(x)=x27 f(x) = x^2 - 7 .\newlinef(4)=427 f(4) = 4^2 - 7
  3. Calculate Result: Calculate 427 4^2 - 7 .\newline42=16 4^2 = 16 \newline167=9 16 - 7 = 9

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