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

Give The Domain Of The Variable In The Equation Select The Correct Choice Below class=

Sagot :

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}

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