Question

question given f(x) = -3x² + 6x + 1, find f(6) answer attempt 1 out of 2 submit answer watch video

Explanation:

Step1: Substitute \( x = 6 \) into \( f(x) \)

We have the function \( f(x)=-3x^{2}+6x + 1 \). Substitute \( x = 6 \) into the function:
\( f(6)=-3\times(6)^{2}+6\times6 + 1 \)

Step2: Calculate each term

First, calculate \( (6)^{2}=36 \), then \( -3\times36=-108 \), \( 6\times6 = 36 \). Now substitute these values back:
\( f(6)=-108 + 36+1 \)

Step3: Simplify the expression

Add the numbers: \( -108+36=-72 \), then \( -72 + 1=-71 \)

Answer:

\( -71 \)