
evaluate the indicated function for f(x)=xraise to power2+1 and g(x)=x-4  question:(f+g)(3)


To evaluate \((f + g)(3)\), we first need to find \(f(x)\) and \(g(x)\) separately, and then add them together.

### Given:
- \(f(x) = x^2 + 1\)
- \(g(x) = x - 4\)

Now let's evaluate each function at \(x = 3\):

1. **Evaluate \(f(3)\):**
   \[
   f(3) = 3^2 + 1 = 9 + 1 = 10
   \]

2. **Evaluate \(g(3)\):**
   \[
   g(3) = 3 - 4 = -1
   \]

Now, we can find \((f + g)(3)\):

\[
(f + g)(3) = f(3) + g(3) = 10 + (-1) = 9
\]

### Final Answer:
\[
(f + g)(3) = 9
\]

Would you like further explanation or details? Here are some related questions to deepen understanding:

1. What is \((f - g)(3)\)?
2. How do you evaluate \((f \cdot g)(3)\)?
3. Can you find \((f/g)(3)\) if \(g(3) \neq 0\)?
4. What is \((f + g)(x)\) in general form?
5. How do you find the domain of \(f(x)\) and \(g(x)\)?

**Tip:** When combining functions, always evaluate the individual functions first before performing the operation (addition, subtraction, etc.).

evaluate the indicated function for f(x)=x^2+1 and g(x)=x-4  question:(f+g)(3)

Learn how to evaluate the sum of two functions, f(x) = x^2 + 1 and g(x) = x - 4, at x = 3. This problem involves key algebraic concepts, including function evaluation and addition, suitable for students in Grades 8-10.

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