Find the set of values for which the function f(x) = 1 – 3x and g(x) = 2x2 – 1 are equal.

f(x) = 1 – 3x, g(x) = 2x2 – 1


To find:- Set of values of x for which f(x) = g(x)


Consider,


f(x) = g(x)


1 – 3x = 2 – 1


2 + 3x -2 = 0


2 + 4x – x – 2 = 0


2x ( x + 2) –( x + 2 ) = 0


(x+2)(2x-1) = 0


x = -2 or x = �


The set values for which f(x) and g(x) have same value is { -2 , � }.


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