Question

If f (x) = 3x² - x, find f (-2).
O 10
O 14
O 38

Answer 1

The correct answer is 14.


F(x)=3x^2 -x
F(-2)= 3(-2)^2 -(-2)
= 3(4) +2
= 12 + 2
= 14

Answer 2

The value of f(-2) is equal to 14.

Explanation:

Let's define what we are given:

• f(x) = 3x² - x
• f(-2)

Recall from function notation that f(-2) is equal to x = -2 for f(x). That means we can substitute in x = -2 into f(x):

1. f(-2) = 3(-2)² - (-2)

From here, we can evaluate the function expression using BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction):

1. f(-2) = 3(-2)² - (-2)
2. f(-2) = 3(4) - (-2)
3. f(-2) = 3(4) + 2
4. f(-2) = 12 + 2
5. f(-2) = 14

∴ f(-2) = 14.

Hope this helps!