Problem

Question 8 of 10 If $f(x)=5 x-2$ and $g(x)=2 x+1$, find $(f+g)(x)$. A. $3 x-1$ B. $7 x-1$ C. $4 x-3$ D. $7 x-3$

Solution

Step 1 :The question is asking for the sum of the two functions $f(x)$ and $g(x)$. To find $(f+g)(x)$, we simply add the two functions together. This means we add the corresponding terms of the two functions.

Step 2 :Let $f(x) = 5x - 2$ and $g(x) = 2x + 1$.

Step 3 :To find $(f+g)(x)$, we add the corresponding terms of $f(x)$ and $g(x)$ together.

Step 4 :So, $(f+g)(x) = (5x - 2) + (2x + 1) = 7x - 1$.

Step 5 :Final Answer: The sum of the functions $f(x)$ and $g(x)$ is \(\boxed{7x - 1}\). Therefore, the correct answer is option B. $7x - 1$.

From Solvely APP
Source: https://solvelyapp.com/problems/jeGfJVfBeC/

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