\(\frac{8x+4}{4x+5}=\frac{8x+10-6}{4x+5}=\frac{2\left(4x+5\right)-6}{4x+5}=\frac{2\left(4x+5\right)}{4x+5}-\frac{6}{4x+5}=2-\frac{6}{4x+5}\)
De 8x + 4/4x + 5 dat gia tri lon nhat <=> 2 - 6/4x + 5 dat gia tri lon nhat <=> 6/4x + 5 dat gia tri lon nhat
=> 4x + 5 dat gia tri nho nhat (4x + 5 > 0)
=> 4x + 5 = 1 => x = -1
Khi do gia tri lon nhat cua \(\frac{8x+4}{4x+5}=\frac{8.\left(-1\right)+4}{4.\left(-1\right)+5}=\frac{-8+4}{-4+5}=\frac{-4}{1}=-4\)
Vay gia tri lon nhat cua \(\frac{8x+4}{4x+5}=-4\)khi x = -1
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