Find the set of values for which the function f(x) = x + 3 and g(x) = 3x2 – 1 are equal.
f(x) = x + 3, g(x) = 3x2 – 1
To find:- Set of values of x for which f(x) = g(x)
Consider,
f(x) = g(x)
x+3 = 3
– 1
3
- x – 4 = 0
3
- 4x + 3x -4 = 0
x(3x-4) +(3x-4) = 0
(3x - 4)(x + 1) = 0
x = 4/3 or x= -1
The set values for which f(x) and g(x) have same value is { 4/3 , -1}.
1