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f(x)={[-x+3," for ",x!=4],[4," for ",x=4]:}
Find 
f(4)
Answer:

f(x)={x+3amp; for amp;x44amp; for amp;x=4 f(x)=\left\{\begin{array}{lll} -x+3 & \text { for } & x \neq 4 \\ 4 & \text { for } & x=4 \end{array}\right. \newlineFind f(4) f(4) \newlineAnswer:\newline

Full solution

Q. f(x)={x+3 for x44 for x=4 f(x)=\left\{\begin{array}{lll} -x+3 & \text { for } & x \neq 4 \\ 4 & \text { for } & x=4 \end{array}\right. \newlineFind f(4) f(4) \newlineAnswer:\newline
  1. Identify Function Definition: The function f(x)f(x) is defined piecewise, meaning it has different expressions for different values of xx. To find f(4)f(4), we need to determine which piece of the function definition applies when x=4x = 4.
  2. Check Value for x=4x=4: According to the definition of f(x)f(x), there is a specific value given for f(x)f(x) when x=4x = 4. The function explicitly states that f(4)=4f(4) = 4.
  3. Conclude f(4)=4f(4)=4: Since the function provides a direct value for f(4)f(4), no further calculations are needed. We can conclude that f(4)=4f(4) = 4.