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What is the range for the following function? V x + 3 1 + 2 +3 A. {»:YER, 23) O B. (y:YER,y+2) OC. {Y:YER,y+-2) OD. {Y:YER) SUBMIT PREVIOUS

What is the range for the following function? V x + 3 1 + 2 +3 A. {»:YER, 23) O B-example-1
User Fdellutri
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1 Answer

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Given the function;


y=(1)/(x+3)+2

First, we find the inverse of the function as;


\begin{gathered} \operatorname{Re}place\text{ x with y, we have;} \\ x=(1)/(y+3)+2 \\ \text{Then, solve for y, we have;} \\ y=(-3x+7)/(x-2) \end{gathered}

Then, we get the domain of the inverse function, we have;


x<2\text{ or x>2}

Thus, the graph of the function is;

Hence, the range of the function is;


\mleft\lbrace y\colon y\in\mathfrak{\Re },y\\e2\mright\rbrace

CORRECT OPTION: B

What is the range for the following function? V x + 3 1 + 2 +3 A. {»:YER, 23) O B-example-1
User Howard Hoffman
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