find the domain of each of tje following functions given by f(x)=x^3-x+3÷x^2-1
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Given : f(x) = x³ - x + 3 / (x² - 1)
To Find : domain of the function
Solution:
f(x) = x³ - x + 3 / (x² - 1)
f(x) is not defined if
x² - 1 = 0
=> (x + 1)(x -1 ) = 0
=> x = - 1 , x = 1
f(x) is defined for all values of x except -1 , 1
Domain of the function = R - { -1 , 1 }
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