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

f(x) = 1 – 3x, g(x) = 2x^{2} – 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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