Find the domain of the function g(x)-7/7-4x

Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify. Consider participating in the discussion by simplifying your classmates’ expressions. Detail what would have happened if the expression was not simplified first.

When adding or subtracting radical expressions, what must be true about the radicand (the data under the radical symbol) and the index?

To find the domain of the function g(x) = (7)/(7-4x), we need to consider the values of x for which the function is defined.

The function g(x) is defined for all real numbers except for the values of x that would make the denominator zero. In this case, the denominator is 7-4x.

To find the values that make the denominator zero, we set 7-4x equal to zero and solve for x:

7 - 4x = 0
-4x = -7
x = 7/4

So, the function is undefined for x = 7/4.

Therefore, the domain of the function g(x) is all real numbers except x = 7/4. In interval notation, the domain can be written as (-∞, 7/4) U (7/4, ∞).