Question

Give the domain of the variable in the equation Select the correct choice below

Answer 1

A. The domain is x

Explanation:

We have the following equation:

`(6x+1)/(x-4)=(30x+8)/(5x-7)`

The domain of a function, are the input values of the function, in this case, it corresponds to the values that x can take.

Since it is a rational function and it cannot take values that make the denominator zero, so we set the denominator equal to zero, like this:

`\begin{gathered} x-4=0\rightarrow x=4 \\ \\ 5x-7=0\rightarrow x=(7)/(5)=1.4 \end{gathered}`

Therefore, the correct answer is:

A. The domain is x