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)
To find f(-7), we first substitute x = -7 into the expression for f(x):
f(x) = -x^2 + 2x + 6
Substituting x = -7:
f(-7) = -(-7)^2 + 2(-7) + 6
Next, we simplify the expression:
f(-7) = -(49) - 14 + 6
f(-7) = -49 - 14 + 6
f(-7) = -57
Therefore, f(-7) = -57.
To find f(-7), we need to substitute -7 into the given expression for f(x) and solve for the result.
Given: f(x) = -x^2 + 2x + 6
Replace x with -7 in the equation:
f(-7) = -(-7)^2 + 2(-7) + 6
Simplify the expression:
f(-7) = -(49) + (-14) + 6
f(-7) = -49 - 14 + 6
f(-7) = -57 + 6
f(-7) = -51
Therefore, f(-7) = -51.
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.