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

f(x)={x1amp; for amp;2xlt;32amp; for amp;x=34amp; for amp;xgt;3 f(x)=\left\{\begin{array}{lll} x-1 &amp; \text { for } &amp; -2 \leq x&lt;3 \\ -2 &amp; \text { for } &amp; x=3 \\ 4 &amp; \text { for } &amp; x&gt;3 \end{array}\right. \newlineFind f(4) f(4) \newlineAnswer:\newline

Full solution

Q. f(x)={x1 for 2x<32 for x=34 for x>3 f(x)=\left\{\begin{array}{lll} x-1 & \text { for } & -2 \leq x<3 \\ -2 & \text { for } & x=3 \\ 4 & \text { for } & x>3 \end{array}\right. \newlineFind f(4) f(4) \newlineAnswer:\newline
  1. Determine Input for Function: We need to determine which part of the piecewise function applies to the input x=4x = 4.\newlinef(x)f(x) is defined as follows:\newline- f(x)=x1f(x) = x - 1 for -2 \leq x < 3\newline- f(x)=2f(x) = -2 for x=3x = 3\newline- f(x)=4f(x) = 4 for x > 3\newlineSince 44 is greater than 33, we use the third part of the function.
  2. Apply Third Part of Function: Now we apply the third part of the function to find f(4)f(4).f(4)=4f(4) = 4, because the function value is defined as 44 for any xx that is greater than 33.