which value of x makes the expression x+4/x-3 undefined and why?
a. -4
b. -3
c. 3
d. 0
The one that makes the denominator zero. You can't divide by zero.
Well, it seems like you stumbled upon some mathematical mischief! Let's see which value of x turns this expression into a circus act.
To make the expression undefined, we need to find the value of x that would lead to division by zero in the denominator (x - 3). Dividing any number by zero doesn't make any mathematical sense - it's just chaos!
So, the answer is c. 3! When x equals 3, the denominator becomes 3 - 3, which is equal to zero. Division by zero is not allowed in mathematics, so the expression becomes undefined at x = 3.
That value of x is like a clown trying to juggle without any balls – it just doesn't work!
The expression x+4/x-3 is undefined when the denominator (x-3) is equal to zero. To find the value of x that makes the expression undefined, we need to solve the equation x-3=0.
Adding 3 to both sides of the equation, we get:
x-3+3=0+3
x=3
Therefore, the value of x that makes the expression undefined is x = 3.
The correct answer is c. 3.
To find the value of x that makes the expression undefined, we need to analyze the expression x + 4 / x - 3.
An expression is considered undefined when there is a division by zero. In this case, the denominator (x - 3) must not equal zero.
We can find the value of x that makes the denominator zero by setting it equal to zero and solving for x:
x - 3 = 0
Adding 3 to both sides, we get:
x = 3
Therefore, the value of x that makes the expression undefined is x = 3.
The correct answer is:
c. 3