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The image contains the mathematical functions \( f(x) = 6x^2 + 2x + 3 \) and \( g(x) = x^2 - 3x + 5 \), and the operation is the sum of these two functions.

### Sum of the Functions:
To find \( (f + g)(x) \), you add the two functions \( f(x) \) and \( g(x) \):

\[
(f + g)(x) = f(x) + g(x)
\]

Now, substitute the expressions for \( f(x) \) and \( g(x) \):

\[
(f + g)(x) = (6x^2 + 2x + 3) + (x^2 - 3x + 5)
\]

### Combine like terms:
1. \( 6x^2 + x^2 = 7x^2 \)
2. \( 2x - 3x = -x \)
3. \( 3 + 5 = 8 \)

Thus, the resulting function after addition is:

\[
(f + g)(x) = 7x^2 - x + 8
\]

Would you like further details or explanations?

Here are 5 related questions for practice:
1. What is the result of \( f(x) - g(x) \)?
2. Can you find \( f(x) \times g(x) \)?
3. What is the derivative of \( f(x) \)?
4. What is the solution to \( f(x) = 0 \)?
5. How do you find the quotient \( \frac{f(x)}{g(x)} \)?

**Tip:** When adding polynomials, always group and combine like terms (terms with the same degree).

Sum of functions f(x) = 6x^2 + 2x + 3 and g(x) = x^2 - 3x + 5

Learn how to find the sum of two functions f(x) = 6x^2 + 2x + 3 and g(x) = x^2 - 3x + 5. This problem covers key algebraic concepts like polynomial addition. Suitable for students in Grades 8-10.

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