Question

question
given ( f(x) = 3x^2 - x + 2 ), find ( f(-4) )
answer attempt 1 out of a

Explanation:

Step1: Substitute \( x = -4 \) into \( f(x) \)

We have the function \( f(x) = 3x^2 - x + 2 \). To find \( f(-4) \), we replace every \( x \) in the function with \( -4 \). So we get \( f(-4)=3(-4)^2 - (-4)+2 \).

Step2: Calculate each term

First, calculate \( (-4)^2 \), which is \( 16 \). Then, \( 3\times16 = 48 \). Next, \( -(-4)=4 \). Now we substitute these back into the expression: \( f(-4)=48 + 4+2 \).

Step3: Sum the terms

Adding the terms together: \( 48+4 = 52 \), and \( 52 + 2=54 \).

Answer:

\( 54 \)