Given the function, g(x)=3xx−4𝑔(𝑥)=3𝑥𝑥−4 , when finding the domain we must exclude

When finding the domain of the function g(x)=3xx−4, we must exclude values of x that would make the denominator of the fraction equal to zero, as division by zero is undefined in mathematics.

The denominator of the fraction in this function is xx - 4.

To find the values of x that would make the denominator equal to zero, we set the denominator equal to zero and solve for x:

xx - 4 = 0

This equation can be solved by adding 4 to both sides to isolate xx:

xx = 4

Therefore, the value of x that would make the denominator of the fraction equal to zero is x = 4.

So, when finding the domain of the function g(x)=3xx−4, we must exclude x = 4.