Question

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?​

Answer 1

a = -2 or a = -5

Explanation:

We want
`f(a) = a^2 + 7a + 12 = 2`. We can subtract 2 from both sides of this equation to get
`a^2+7a+10=0`. We can factor this to get that
`(a+2)(a+5)=0`. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.