ANSWER:
A. The domain is {x|x is a real number, x ≠ 4, 1.4}
STEP-BY-STEP EXPLANATION:
We have the following equation:
[tex]\frac{6x+1}{x-4}=\frac{30x+8}{5x-7}[/tex]
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:
[tex]\begin{gathered} x-4=0\rightarrow x=4 \\ \\ 5x-7=0\rightarrow x=\frac{7}{5}=1.4 \end{gathered}[/tex]
Therefore, the correct answer is:
A. The domain is {x|x is a real number, x ≠ 4, 1.4}
