The range of the function is

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The range of the function f(x)=tan⁡−1(log⁡5/4(5x2−8x+4))f(x)=\tan^{-1}\left(\log_{5/4}(5x^2-8x+4)\right) is (1) (−π4,π2)\left(-\frac{\pi}{4},\frac{\pi}{2}\right) (2) [−π4,π2)\left[-\frac{\pi}{4},\frac{\pi}{2}\right) (3) (−π4,π2]\left(-\frac{\pi}{4},\frac{\pi}{2}\right] (4) [−π4,π2]\left[-\frac{\pi}{4},\frac{\pi}{2}\right]

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