1.
If the domain of the function f(x)=loge(2x35+4x)+sin1(4+3x2x)f(x) = \log_e\left(\frac{2x-3}{5+4x}\right) + \sin^{-1}\left(\frac{4+3x}{2-x}\right) is [α,β)[\alpha, \beta), then α2+4β\alpha^2 + 4\beta is equal to: