For all the values of x, f (x) = 2x (squared) g (x) = x+1 solve fg (x) = gf (x)

Value of x for fg (x) = gf (x) at f (x) = 2x² and g (x) = x+1 is x = - 1/4.

Step-by-step explanation:

We have, f (x) = 2x² and g (x) = x+1

Now, f (g (x)) = g (f (x))

⇒ 2 (x+1) ² = 2x² + 1

⇒ 2 (x² + 2x + 1) = 2x² + 1

⇒ 2x² + 4x + 2 = 2x² + 1

⇒ 4x = - 1

⇒ x = - 1/4