Question
or what value of \( x \) is \( \frac{4-2 x}{x+1} \) undefined.
Ask by Matthews Lambert. in Nigeria
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression is undefined when \( x = -1 \).
Solution
The expression (4 - 2x)/(x + 1) is undefined when its denominator is zero. To find the value of x that makes the expression undefined, set the denominator equal to zero:
x + 1 = 0
Now, solve for x:
x = -1
Thus, the expression is undefined when x = -1.
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Simplify this solution Bonus Knowledge
The expression \( \frac{4-2x}{x+1} \) is undefined when the denominator equals zero. To find this value of \( x \), you solve the equation \( x + 1 = 0 \). This simplifies to \( x = -1 \). So, when \( x \) is -1, the expression is undefined. Remember, whenever you're working with rational expressions, it's crucial to check where the denominator equals zero, as these points are where the expression loses its meaning. Always keep an eye out for those sneaky values that can trip you up!
