Explanation:
To find the value of x for which f(x) = g(x), we can equate the two functions:
f(x) = g(x)
x^2 - 1 = 3x
Bringing all the terms to one side, we get:
x^2 - 3x - 1 = 0
Using the quadratic formula, we can solve for x:
x = [ -(-3) ± sqrt((-3)^2 - 4(1)(-1))] / 2(1)
Simplifying the expression:
x = [3 ± sqrt(13)] / 2
Therefore, the values of x for which f(x) = g(x) are (3 + sqrt(13))/2 and (3 - sqrt(13))/2.