Find the domain of the function

g(x)= 1/6-5x

I know that x is a real number but I need the domain please.

To find the domain of the function g(x) = 1/(6-5x), we need to consider the values of x for which the function is defined.

In this case, the function g(x) is defined for all real numbers except the ones that make the denominator equal to zero. In other words, we need to find the values of x that satisfy the equation 6-5x ≠ 0.

To solve this equation, we isolate x:

6 - 5x ≠ 0
-5x ≠ -6
Divide both sides by -5 (remember to reverse the inequality sign since we're dividing by a negative number):
x ≤ -6/-5
x ≤ 6/5

Therefore, the domain of the function g(x) is all real numbers except x ≤ 6/5. In interval notation, we can write this as (-∞, 6/5).