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The given function is \( f(x) = 5x^2 + 8 \).

We are asked to find the value of \( f(3) \). To do this, substitute \( x = 3 \) into the function:

\[
f(3) = 5(3)^2 + 8
\]

First, calculate \( 3^2 \):

\[
3^2 = 9
\]

Now, multiply by 5:

\[
5 \times 9 = 45
\]

Finally, add 8:

\[
45 + 8 = 53
\]

So, the value of \( f(3) \) is \( 53 \).

Would you like more details, or have any further questions?

Here are 5 related questions to explore further:
1. What is the general form of a quadratic function?
2. How do you calculate the derivative of \( f(x) = 5x^2 + 8 \)?
3. How would you find \( f(4) \) using the same function?
4. What does the graph of the function \( f(x) = 5x^2 + 8 \) look like?
5. What is the vertex of the quadratic function \( f(x) = 5x^2 + 8 \)?

**Tip:** When substituting values into a function, always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

Work out the value of f(3) for the function f(x) = 5x^2 + 8.

Learn how to find the value of f(3) in the quadratic function f(x) = 5x^2 + 8. This problem covers key algebra concepts and is suitable for students in Grades 7-9.

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