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Given f, of, x, equals, minus, x, squared, plus, 18f(x)=−x 2 +18, find f, of, minus, 2f(−2)

Question

Given f, of, x, equals, minus, x, squared, plus, 18f(x)=−x 2 +18, find f, of, minus, 2f(−2)

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Solution

To find the value of f(-2) for the function f(x) = -x^2 + 18, you need to substitute -2 in place of x in the function.

Step 1: Substitute -2 for x in the function f(x) = -x^2 + 18 f(-2) = -(-2)^2 + 18

Step 2: Simplify the equation f(-2) = -4 + 18

Step 3: Solve the equation f(-2) = 14

So, f(-2) for the function f(x) = -x^2 + 18 is 14.

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