Question

Consider the following functions. State any restrictions on the variable, if they exist.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x - 8 / x + 10 = 1 / 10

Step 02:

equation:

restrictions ===> denominator = 0

`\begin{gathered} (x-8)/(x+10)=(1)/(10) \\ 10(x\text{ -8) = 1 (x +10) } \\ 10x\text{ - 80=x +10} \\ 10x\text{ -x = }10\text{ + 80} \\ 9x\text{ = 90} \\ x\text{ = 90/9 = }10 \end{gathered}`

In this case, because it is an equation, we can modify the terms and x would not have a restriction.

The answer is:

no restriction