f(x) = x^2 + 2x - 1
g(x) = 5x + 3
Fnd the values of x for which f(x) = g (x)
f(x) = x2 + 2x - 1
g(x) = 5x + 3
Find the values of x for which
f(x) = g(x)
Just substitute in what f(x) and g(x) are and solve for x.
x2 + 2x - 1 = 5x + 3
x2 + 2x - 1 = 5x + 3
Subtract 3 from both sides.
x2 + 2x - 4 = 5x
Subtract 5x from both sides.
x2 - 3x - 4 = 0
Factor.
(x + 1)(x - 4) = 0
Set each factor equal to 0.
x + 1 = 0 or x - 4 = 0
x = -1 or x = 4