SOLUTION: Determine the domain of f in f(x)=10- the square root of 3-x

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we define domain the set of all such values of x for which function has defined or finite value here f(x)= 10- we look for the values of function for which it has defined value we know that square root of positive number exists only so 3-x>=0 or 3>=x or x>=3 hence all values of x are permissible except x<3 domain = all R except x<3