Question

2 - 23. find the output for the relation with the given input. if there is no possible output for the given input, explain why not. f(x)=\frac{1}{x - 1}, x = 1; f(1)=?

Explanation:

Step1: Substitute x - value

We are given the function $f(x)=\frac{1}{x - 1}$ and we need to find $f(1)$. Substitute $x = 1$ into the function.
$f(1)=\frac{1}{1 - 1}$

Step2: Analyze the result

Since $1-1 = 0$, we have $f(1)=\frac{1}{0}$. Division by zero is undefined in mathematics.

Answer:

There is no possible output for $x = 1$ because division by zero (when substituting $x = 1$ into $f(x)=\frac{1}{x - 1}$) is undefined.