When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.

That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.

If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).

Expression:

$\begin{gathered} \frac{1}{x-1}=\frac{5}{x-10} \\ \frac{x-1}{1}=\frac{x-10}{5} \\ x-1=\frac{x}{5}-\frac{10}{5} \\ x-1=\frac{1}{5}x-2 \\ x-\frac{1}{5}x=-2+1 \\ \frac{4}{5}x=-1 \\ x=-1\cdot\frac{5}{4} \\ x=-\frac{5}{4} \end{gathered}$

Answer: There is no restriction for x in the expression.

6 0

1 year ago

What is 2 plus 2 times 489829

mash [69]

Your answer is going to be: 979,660

7 0

3 years ago

Read 2 more answers

In a classroom of students 3 out of 5 students are boys. If the total amount of students is 35 how many students are boys. Pleas

Bumek [7]

Answer:

there is 21 boys

Step-by-step explanation:

hope that helps

6 0

3 years ago