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

Answer : f(x) = 1 – 3x, g(x) = 2 – 1

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

f(x) = g(x)

1 – 3x = 2

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 , ? }.