can someone show me how to find the domain of g(x) = 4 -3x/2?

Answer 1

The domain would the values of x that would result in a valid equation.

In this case, all real numbers (-infinity to infinity) would be okay.

An example of a function where you wouldn't have all real numbers would be:
f(x) = 1/x.

Here x = 0 is not allowed.

Another example would be:
f(x) = sqrt(x)

Here x < 0 would not be allowed, so the domain would be 0 <= x < infinity.

But with your function g(x), there are no invalid input values. All values of -infinity < x < infinity would be allowable in the domain.

Answer 2

http://www.analyzemath.com/DomainRange/DomainRange.html
says...
For a function f defined by an expression with variable x, the implied domain of f is the set of all real numbers variable x can take such that the expression defining the function is real. The domain can also be given explicitly.

In other words all the values of x that give you an answer when you put it in your function.

The domain is therefore all real values of x.

Answer 3

I wont ask you to help me sweep up so don't ask me how to do your job