In the root sign 3-A divided by A-1, what is the value range of a?

In the root sign 3-A divided by A-1, what is the value range of a?

A ≤ 3, but not equal to 1
Remember to adopt it

F (x) = loga (AX root x), find that f (x) is an increasing function, the value range of A

The function definition field is {x | x > 1 / a square}
When 01 / A is an increasing function
So, when 01 / A, then y = ax - radical x = [a (t-1 / 2a)] ^ 2-1 / 4A
In this case, y = = [a (t-1 / 2a)] ^ 2-1 / 4A is an increasing function on T > 1 / A
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So, when a > 1, f (x) is an increasing function!
The range of a is a > 1

If a ∈ [0,2 π], and the radical (1-sin2a) = the radical 2 * (a - π / 4), then the value range of a is?

Sin2a = 1-radical 2 * (a - π / 4) 2sina * cosa = Sin & sup2; a + cos & sup2; a-radical 2 * (a - π / 4) (Sina COSA) & sup2; = radical 2 * (a - π / 4) 1 / 2Sin & sup2; (a - π / 4) = radical 2 * (a - π / 4) Sin & sup2; (a - π / 4) = 2-radical 2 * (a - π / 4) a ∈ [0,2 π], (...)

When x > 1, under the root sign (a ^ X-2 ^ x) > 1 is constant (a > 0, a ≠ 1), find the value range of A

Let f (x) = a ^ X-2 ^ x, then f '(x) = a ^ x * lna-2 ^ x * LN2 > 2 ^ x * LN2 = 0, then f (x) is a monotone increasing function