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Use the following function rule to find f(−2)f(-2).\newlinef(x)=10+6xf(x) = 10 + 6x

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Full solution

Q. Use the following function rule to find f(−2)f(-2).\newlinef(x)=10+6xf(x) = 10 + 6x
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=10+6xf(x) = 10 + 6x and we need to find the value of f(–2)f(–2).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(-2)f(\text{-}2), we replace xx with -2\text{-}2 in the function f(x)f(x).\newlinef(-2)=10+6(-2)f(\text{-}2) = 10 + 6(\text{-}2)
  3. Perform Multiplication: Perform the multiplication.\newlineNow we calculate 66 times –2–2.\newline6(–2)=–126(–2) = –12
  4. Add to Constant Term: Add the result to the constant term in the function.\newlineWe add the result from Step 33 to the constant term 1010.\newlinef(–2)=10+(–12)f(–2) = 10 + (–12)
  5. Simplify for Final Answer: Simplify the expression to find the final answer.\newlinef(−2)=10−12f(-2) = 10 - 12\newlinef(−2)=−2f(-2) = -2

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