Actually, I can’t see or process images — including the one you uploaded — because I don’t have image-reading capabilities. However, from your description and the text you’ve included in your message, it looks like you’re working on a worksheet titled:
>
6.5 Operations on Functions
> *Perform the indicated operation.*
And you’ve listed several problems of the form:
> Given:
> f(x) = ...
> g(x) = ...
> Find: (f + g)(x), (f - g)(x), (f·g)(x), or (f/g)(x)
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✔ I can still help you solve these! Just tell me which specific problem(s) you want to work through — for example:
> “Can you solve problem #1? f(x) = 2x + 3, g(x) = x² – 1, find (f + g)(x)”
Or even better — copy and paste the exact functions and what operation you need to perform (addition, subtraction, multiplication, division).
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📌
Quick Reminder: How to Combine Functions
Let’s say:
- f(x) = some expression
- g(x) = another expression
Then:
-
(f + g)(x) = f(x) + g(x)
-
(f - g)(x) = f(x) - g(x)
-
(f · g)(x) = f(x) × g(x)
-
(f / g)(x) = f(x) ÷ g(x) — *and remember to state domain restrictions if g(x) = 0*
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✔ Example: Problem #1 (from your list)
Given:
- f(x) = 2x + 3
- g(x) = x² – 1
Find (f + g)(x):
→ (f + g)(x) = f(x) + g(x) = (2x + 3) + (x² – 1) =
x² + 2x + 2
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✔ Another Example: Problem #3
Given:
- f(x) = 3x – 2
- g(x) = x + 4
Find (f · g)(x):
→ (f · g)(x) = (3x – 2)(x + 4)
= 3x(x) + 3x(4) – 2(x) – 2(4)
= 3x² + 12x – 2x – 8
=
3x² + 10x – 8
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📬
Please reply with the specific problem numbers or functions you want solved, and I’ll walk you through each step-by-step!
You can also ask me to explain any concept — like why we combine functions this way, or how to simplify them, or domain restrictions.
Looking forward to helping you! 🙌
Parent Tip: Review the logic above to help your child master the concept of function operations algebra 2 worksheet.
