Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
To determine for which value of [tex]\( x \)[/tex] the rational expression [tex]\(\frac{3x-12}{9-x}\)[/tex] is undefined, we need to focus on the denominator of the expression. A rational expression is undefined when its denominator is equal to zero.
Given the rational expression:
[tex]\[ \frac{3x-12}{9-x} \][/tex]
We need to find the value of [tex]\( x \)[/tex] that makes the denominator [tex]\( 9 - x \)[/tex] equal to zero.
Set the denominator equal to zero and solve for [tex]\( x \)[/tex]:
[tex]\[ 9 - x = 0 \][/tex]
To isolate [tex]\( x \)[/tex], add [tex]\( x \)[/tex] to both sides of the equation:
[tex]\[ 9 = x \][/tex]
So, [tex]\( x = 9 \)[/tex].
Therefore, the rational expression [tex]\(\frac{3x-12}{9-x}\)[/tex] is undefined when [tex]\( x = 9 \)[/tex].
The correct answer is:
[tex]\[ \boxed{9} \][/tex]
Given the rational expression:
[tex]\[ \frac{3x-12}{9-x} \][/tex]
We need to find the value of [tex]\( x \)[/tex] that makes the denominator [tex]\( 9 - x \)[/tex] equal to zero.
Set the denominator equal to zero and solve for [tex]\( x \)[/tex]:
[tex]\[ 9 - x = 0 \][/tex]
To isolate [tex]\( x \)[/tex], add [tex]\( x \)[/tex] to both sides of the equation:
[tex]\[ 9 = x \][/tex]
So, [tex]\( x = 9 \)[/tex].
Therefore, the rational expression [tex]\(\frac{3x-12}{9-x}\)[/tex] is undefined when [tex]\( x = 9 \)[/tex].
The correct answer is:
[tex]\[ \boxed{9} \][/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.