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
