Use the function to answer the question.
f(x)=1/4-x
For what value in the domain is the function undefined? Explain your answer.
I assume you actually mean
1/(4-x)
this denominator is zero when x = 4 so the function is undefined when x = 4
The way you wrote it means
(1/4) - x which is defined for all real x
Oh sorry about that. Can you explain what undefined means and what domain means?
To determine the value in the domain for which the function is undefined, we need to identify any restrictions on the domain of the function. In this case, the function f(x) = 1/(4 - x) will be undefined when the denominator (4 - x) becomes zero because division by zero is undefined.
So, to find the value in the domain for which the function is undefined, we set the denominator equal to zero:
4 - x = 0
Now, isolate the variable x by subtracting 4 from both sides:
x = 4
Therefore, the function f(x) = 1/(4 - x) is undefined when x = 4 since it results in division by zero.