the function is defined by f(x)=2x^2-7.Gind f (2a)

To find \( f(2a) \) for the function \( f(x) = 2x^2 - 7 \), we substitute \( 2a \) in place of \( x \) in the function:

\[
f(2a) = 2(2a)^2 - 7
\]

Now, simplify the expression:

\[
f(2a) = 2(4a^2) - 7
\]

\[
f(2a) = 8a^2 - 7
\]

So, \( f(2a) = 8a^2 - 7 \).

Would you like more details on the process, or do you have any other questions?

Here are 5 questions related to this topic:

1. How do we differentiate the function \( f(x) = 2x^2 - 7 \)?
2. What is the value of \( f(3) \) for \( f(x) = 2x^2 - 7 \)?
3. How do we find the inverse of the function \( f(x) = 2x^2 - 7 \)?
4. What is the domain and range of \( f(x) = 2x^2 - 7 \)?
5. How does substituting negative values of \( a \) affect \( f(2a) \)?

**Tip:** When substituting expressions into a function, always ensure proper distribution and squaring when applicable.

The function is defined by f(x) = 2x^2 - 7. Find f(2a).

Learn how to evaluate f(2a) for the quadratic function f(x) = 2x^2 - 7. This solution covers function substitution and algebraic simplification, suitable for students in Grades 8-10.

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