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algebra: concepts and connections - plc adding and subtracting rational…

Question

algebra: concepts and connections - plc
adding and subtracting rational expressions
which represents all the values of ( x ) that make the rational expression ( \frac{-6x + 42}{3x + 9} ) undefined?
options:
( x = -3 )
( x = 7 )
( x = -7 ) or ( x = 7 )
( x = -3 ) or ( x = 3 )

Explanation:

Step1: Set denominator equal to 0

$3x + 9 = 0$

Step2: Isolate the variable term

$3x = -9$

Step3: Solve for x

$x = \frac{-9}{3} = -3$

Answer:

$x = -3$