Question

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

Answer 1

Answer:

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