Question

find f(-3) if f(x) = 6x² - x.
f(-3) = \square (type an integer or a simplified fraction.)

Explanation:

Step1: Substitute x = -3 into the function

We have the function \( f(x) = 6x^2 - x \). To find \( f(-3) \), we substitute \( x = -3 \) into the function. So we get \( f(-3)=6(-3)^2 - (-3) \).

Step2: Calculate the powers and multiplications

First, calculate \( (-3)^2 \), which is \( 9 \). Then multiply by 6: \( 6\times9 = 54 \). Next, handle the subtraction of a negative number: \( -(-3)=3 \).

Step3: Add the results

Now add the two results together: \( 54 + 3 = 57 \).

Answer:

57