Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

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Question: 1 / 400

If a function is defined as f(x) = 3x² - 2, what is f(-1)?

To determine the value of the function $ f(x) = 3x^2 - 2 $ at $ x = -1 $, we need to substitute $-1$ into the function.

First, calculate $ (-1)^2 $:

(-1)^2 = 1

Next, multiply this result by $3$:

3 \times 1 = 3

Then, subtract $2$ from this result:

3 - 2 = 1

Thus, when we evaluate $ f(-1) $:

f(-1) = 3(-1)^2 - 2 = 3 - 2 = 1

The correct response is $1$. The calculation shows that the output of the function when $ x = -1 $ is indeed $1$.

The provided answer of $5$ does not align with the calculations performed through the function's definition. Each mathematical step affirms that the computed result is $1$ when substituting $-1$ into $ f(x) $.

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