Given f, left bracket, x, right bracket, equals, minus, x, squared, plus, 2, x, plus, 6f(x)=−x

2
+2x+6, find f, left bracket, minus, 7, right bracketf(−7)

1 answer

To find f(-7), we substitute -7 into the equation for x in f(x).

f(x) = -x^2 + 2x + 6

f(-7) = -(-7)^2 + 2(-7) + 6

Now we solve this equation step by step:

f(-7) = -(49) + (-14) + 6

f(-7) = -49 - 14 + 6

f(-7) = -57 + 6

f(-7) = -51

Therefore, f(-7) = -51.