Answer:
a = - 3, a = 4
Step-by-step explanation:
Given f(x) = x² + 2 and g(x) = x + 14 , then
f(a) = a² + 2 and g(a) = a + 14
For f(a) = g(a) , then equate the right sides
a² + 2 = a + 14 ( subtract a + 14 from both sides )
a² - a - 12 = 0 ← in standard form
(a - 4)(a + 3) = 0 ← in factored form
Equate each factor to zero and solve for a
a + 3 = 0 ⇒ a = - 3
a - 4 = 0 ⇒ a = 4
