Let f (x) = x 2 + 6 x + 6 f (x) = x 2 + 6 x + 6, and g (x) = 1 g (x) = 1. Find all values for the variable x x, for which f (x) = g (x) f (x) = g (x).

Therefore the value of x are = - 1 and - 5 for which f (x) = g (x).

Step-by-step explanation:

Given,

f (x) = x²+6x+6 and g (x) = 1

f (x) = g (x)

⇒x²+6x+6=1

⇒x²+6x+6-1=0

⇒x²+6x+5=0

⇒x²+5x+x+5=0

⇒x (x+5) + 1 (x+5) = 0

⇒ (x+5) (x+1) = 0

⇒x+5=0 or x+1=0

⇒x=-5 x=-1

Therefore the value of x are = - 1 and - 5.