Problem

Use the following information to answer the next question
The function $f(x)$ has the ordered pair $(-2,3)$ and the function $g(x)$ has the ordered pair $(-2,4)$.
\[
f(x) \quad g(x)=f(x)+1
\]
Numeric Response
1. The only certain ordered pair for $h(x)=(f+g)(x)$, can be written in the form $(-a, b)$. The value of $a$ is , and the value of $b$ is
(Record your answer in the numerical-response section on the answer sheet.)

Answer

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Answer

Final Answer: The values of $a$ and $b$ are $a = \boxed{2}$ and $b = \boxed{7}$.

Steps

Step 1 :The function $h(x)$ is defined as the sum of the functions $f(x)$ and $g(x)$.

Step 2 :We know that $f(-2) = 3$ and $g(-2) = 4$.

Step 3 :Therefore, $h(-2) = f(-2) + g(-2) = 3 + 4 = 7.

Step 4 :So, the ordered pair for $h(x)$ is $(-2, 7)$.

Step 5 :Therefore, $a = 2$ and $b = 7$.

Step 6 :Final Answer: The values of $a$ and $b$ are $a = \boxed{2}$ and $b = \boxed{7}$.

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