Question:
For what value of x would the expression below be undefined 5x-18/x-7
A.-7
B.0
C.1
D.7
Answer:
Expression is undefined for the value 7
Step-by-step explanation:
As we have given in the question
[tex]\frac{(5x-18)}{(x-7)}[/tex]
And we have to find out the value of x for which the above expression is undefined
So if we have any equation which is in the format of [tex]\frac{P}{Q}[/tex] form then the above Equation would be undefined when Q = 0. Because if Q = 0 then Denominator of the equation would be zero and if the denominator of the equation becomes zero then the value of the equation becomes infinite and undefined.
So according to question
x-7 should be zero
So, when we substitute x=7 we get
[tex]\frac{(5x-18)}{(7-7)}[/tex]
[tex]\frac{(5x-18)}{(0)}[/tex]
So the correct option is D.
