Question

find the domain and range of the real function fx = 1/ 1- x^2​

Answer 1

Step-by-step explanation:

to solve the question first of all let 's find the domain for function to be defined 1 - x square must not equal to zero. Theirfore X must not be equal to 1 and -1 therefore the function is defined for all real numbers except 1 and -1 and to find range let us assume y equal to the function and express x as y and and determine the conditions in which the x is defined . at first y must not belong to zero because it will undefine x and y-1/y must greater than or equal to zero and by using method of interval it can be seen that y must belong to (-infinity ,0) union [1, infinity)

therefore domain of the function is all real number except 1and -1 and rains of the function is (-infinity ,0) union [1, infinity)