Find the values of x for which f (x) = g (x) (f) x=x^2-7x+3 g (x) = -3x+8

x = 5 or x = - 1

equate f (x) and g (x)

x² - 7x + 3 = - 3x + 8 (subtract ( - 3x + 8) from both sides)

x² - 4x - 5 = 0 ← in standard form

(x - 5) (x + 1) = 0

equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 1 = 0 ⇒ x = - 1