Given f, of, x, equals, minus, x, squared, minus, 9, x, plus, 3f(x)=−x 2 −9x+3, find f, of, minus, 3f(−3)
Question
Given f, of, x, equals, minus, x, squared, minus, 9, x, plus, 3f(x)=−x 2 −9x+3, find f, of, minus, 3f(−3)
Solution
To find the value of f(-3), we substitute x = -3 into the function f(x) = -x^2 - 9x + 3.
Step 1: Substitute x = -3 into the function f(-3) = -(-3)^2 - 9(-3) + 3
Step 2: Simplify the equation f(-3) = -9 - (-27) + 3 f(-3) = -9 + 27 + 3
Step 3: Solve the equation f(-3) = 21
So, f(-3) = 21.
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