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f(x)={[(x+1)^(2)-3," for ",x <= -1],[x-8," for ",x >= 4]:}
Find 
f(2)
Answer:

f(x)={(x+1)23amp; for amp;x1x8amp; for amp;x4 f(x)=\left\{\begin{array}{lll} (x+1)^{2}-3 &amp; \text { for } &amp; x \leq-1 \\ x-8 &amp; \text { for } &amp; x \geq 4 \end{array}\right. \newlineFind f(2) f(2) \newlineAnswer:\newline

Full solution

Q. f(x)={(x+1)23 for x1x8 for x4 f(x)=\left\{\begin{array}{lll} (x+1)^{2}-3 & \text { for } & x \leq-1 \\ x-8 & \text { for } & x \geq 4 \end{array}\right. \newlineFind f(2) f(2) \newlineAnswer:\newline
  1. Define Function: The function f(x)f(x) is defined piecewise, with one expression for x1x \leq -1 and another for x4x \geq 4. We need to determine which expression to use for x=2x = 2.
  2. Check x=2x=2: Since 22 is not less than or equal to 1-1 and not greater than or equal to 44, it does not fall within the range of either piece of the piecewise function. Therefore, f(2)f(2) is not defined by the given function.
  3. Conclusion: We conclude that f(2)f(2) does not have a value based on the given piecewise function, as 22 does not satisfy the conditions for either piece of the function.

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