Answer :

Given: f (x) = 3x2 – 1 and g (x) = 3 + x


To find: the domain of the given functions equal


Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain


The two given functions are equal, so


f (x) = g (x)


Substituting the values, we get


3x2 – 1 = 3 + x


3x2 – 1 - 3 – x = 0


3x2– x-4 = 0


We will find the solution by splitting the middle term, i.e.,


3x2 + 3x-4x-4 = 0


3x(x + 1)-4(x + 1) = 0


(3x-4)(x + 1) = 0


3x-4 = 0 or x + 1 = 0


3x = 4 or x = -1



Hence for , f (x) = g (x), i.e., given functions are equal.


Hence the domain is =


Hence the correct answer is option (B)

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