Given f, left bracket, x, right bracket, equals, minus, 3, x, squared, plus, 6, x, plus, 1f(x)=−3x
2
+6x+1, find f, left bracket, 6, right bracketf(6)
Answer
To find f(6), we substitute x = 6 into the expression for f(x):
f(6) = -3(6)^2 + 6(6) + 1
Simplifying:
f(6) = -3(36) + 36 + 1
f(6) = -108 + 36 + 1
f(6) = -108 + 37
f(6) = -71
Therefore, f(6) = -71.
To find f(6) using the given expression f(x) = -3x^2 + 6x + 1, we substitute the value of x with 6.
f(6) = -3(6)^2 + 6(6) + 1
Simplifying this equation:
f(6) = -3(36) + 36 + 1
f(6) = -108 + 36 + 1
f(6) = -71
To find f(6), we substitute the value of 6 into the equation for f(x).
First, let's write down the equation for f(x):
f(x) = -3x^2 + 6x + 1
Now, let's substitute x with 6:
f(6) = -3 * 6^2 + 6 * 6 + 1
Next, we perform the calculations:
f(6) = -3 * 36 + 36 + 1
f(6) = -108 + 36 + 1
f(6) = -72 + 1
f(6) = -71
Therefore, f(6) = -71.