The function f (x) = log2 (x + 8-b / x) is an increasing function on [1, + ∞). Find the value range of real number B

The function f (x) = log2 (x + 8-b / x) is an increasing function on [1, + ∞). Find the value range of real number B

In order to ensure that f (x) = log2 (x + 8-b / x) is an increasing function on [1, + ∞), combined with the function g (x) = log2, X is an increasing function on (0, + ∞), we only need to ensure that f (x) = x + 8-b / X is an increasing function on [1, + ∞), we can first derive f (x) = x + 8-b / x, f '(x) = 1 + B / x ^ = (x ^ + b) / x ^ to make f (x) = x + 8-b /