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f(x)={[(x+5)^(2)-8," for ",x!=-2],[-3," for ",x=-2]:} Find f(-2) Answer:

f(x)={(x+5)2−8amp; for amp;x≠−2−3amp; for amp;x=−2 f(x)=\left\{\begin{array}{lll} (x+5)^{2}-8 & \text { for } & x \neq-2 \\ -3 & \text { for } & x=-2 \end{array}\right. \newlineFind f(−2) f(-2) \newlineAnswer:\newline

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Full solution

Q. f(x)={(x+5)2−8 for x≠−2−3 for x=−2 f(x)=\left\{\begin{array}{lll} (x+5)^{2}-8 & \text { for } & x \neq-2 \\ -3 & \text { for } & x=-2 \end{array}\right. \newlineFind f(−2) f(-2) \newlineAnswer:\newline
  1. Identify Function Part: First, we need to identify which part of the function definition applies to the value x=−2x = -2. The function f(x)f(x) is defined differently for x=−2x = -2 and for x≠−2x \neq -2. Since we are looking for f(−2)f(-2), we will use the part of the function definition that is specifically for x=−2x = -2.
  2. Use Function Definition: According to the function definition, f(x)f(x) is equal to −3-3 when x=−2x = -2. Therefore, f(−2)=−3f(-2) = -3. There is no need to perform any calculations since the function directly provides the value for x=−2x = -2.

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