It is known that the quadratic function f (x) = ax & # 178; + BX + 1 and G (x) = (BX-1) / (A & # 178; X + 2b). When B = 2A, ask if there is a value of x such that any real number a satisfying - 1 ≤ a ≤ 1 and a ≠ 0 holds the inequality f (x) < 4? And explain the reason

It is known that the quadratic function f (x) = ax & # 178; + BX + 1 and G (x) = (BX-1) / (A & # 178; X + 2b). When B = 2A, ask if there is a value of x such that any real number a satisfying - 1 ≤ a ≤ 1 and a ≠ 0 holds the inequality f (x) < 4? And explain the reason

What do you mean by G (x)?
Is it f (x)