Final answer:
To find the value of f(-2), we substitute -2 into the function f(x) = 2x + a. Given f(2) = 20, we can solve for the constant a using this information. The value of f(-2) is found to be 12.
Step-by-step explanation:
To find the value of f(-2), we substitute -2 into the function f(x) = 2x + a. We are given that f(2) = 20, so we can use this information to solve for the constant a. Substituting x = 2 and f(x) = 20 into the equation, we have 20 = 2(2) + a. Solving for a, we get a = 16. Now, substituting x = -2 and a = 16 into the equation, we have f(-2) = 2(-2) + 16. Simplifying, we get f(-2) = 12.
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