To solve the function \( f(x) = 2x^2 - 1 \) when \( x = 3 \), we substitute \( x \) with 3 and compute the result:

\[
f(3) = 2(3)^2 - 1
\]

First, calculate \( 3^2 \):

\[
3^2 = 9
\]

Then, multiply by 2:

\[
2 \times 9 = 18
\]

Finally, subtract 1:

\[
18 - 1 = 17
\]

So, \( f(3) = 17 \).

Would you like more details on how this was solved or have any other questions?

Here are 5 related questions you might find interesting:
1. What is the value of \( f(x) \) when \( x = -2 \)?
2. How do you find the derivative of the function \( f(x) = 2x^2 - 1 \)?
3. What is the vertex of the parabola defined by \( f(x) = 2x^2 - 1 \)?
4. How do you find the roots of the function \( f(x) = 2x^2 - 1 \)?
5. How would you graph the function \( f(x) = 2x^2 - 1 \)?

**Tip:** Always check your calculations step by step to avoid simple errors.

Learn how to solve the function f(x) = 2x^2 - 1 when x = 3 with a detailed step-by-step solution. This problem involves quadratic equations and polynomial functions. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation