The domain of a function is defined as the set of x-values for which the function is defined. For the given rational function, the function will not be defined if the denominator assumes a value of zero.Therefore, the function will not be defined whenever; x(x^2-49)=0. Solving for x yields; x=0 and x=±7
To find the excluded value of domain,we have to equate the denominator of given function to zero.Solve it for x and the domain is set of all real numbers except this value.