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 , � }.
1