how do you find the domain of the function g(x)=7/2-3x
I bet you mean:
g(x)=7/(2-3x) parentheses are IMPORTANT
the entire x axis except where
2-3x=0
Where the denominator is zero, that point is excluded from the domain since the function is undefined there.
To find the domain of a function, you need to determine the set of all possible values that the independent variable (in this case, x) can take. In other words, you need to identify any restrictions on x that would make the function undefined.
In the given function, g(x) = 7/2 - 3x, there are no specific restrictions or conditions mentioned. Therefore, the function is defined for all real numbers, and the domain is (-∞, +∞) or all real numbers.
To verify this, consider whether there are any situations in which the function is undefined. For instance, if there was a square root or a fraction with a denominator that might be zero, there would be restrictions on the domain. However, in this case, there are no such conditions, so the function is defined for all real numbers.