Given that M belongs to R, f (x) = (m-1) x ^ 1 / M is a power function. (1) the expression for finding f (x): (2) if f (2-A ^ 2) ≥ f (a), find the value range of real number a

Given that M belongs to R, f (x) = (m-1) x ^ 1 / M is a power function. (1) the expression for finding f (x): (2) if f (2-A ^ 2) ≥ f (a), find the value range of real number a

(1) F (x) is a power function,
Then M-1 = 1, so m = 2
So f (x) = x ^ (1 / 2)
(2) Since f (x) is [0, + infinity] is an increasing function,
So the inequality can be reduced to
2-a^2≥a≥0
The solution is 0 ≤ a ≤ 1

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