Given f, of, x, equals, minus, x, squared, plus, x, plus, 16f(x)=−x 2 +x+16, find f, of, minus, 7f(−7)
Question
Given f, of, x, equals, minus, x, squared, plus, x, plus, 16f(x)=−x 2 +x+16, find f, of, minus, 7f(−7)
Solution
To find the value of f(-7), we substitute -7 into the function f(x) = -x^2 + x + 16.
So, f(-7) = -(-7)^2 + (-7) + 16
First, calculate the square of -7, which is 49.
So, f(-7) = -49 - 7 + 16
Then, perform the addition and subtraction from left to right.
So, f(-7) = -56 + 16
Finally, subtract 16 from -56 to get -40.
So, f(-7) = -40.
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