y=<em>(x-9)^</em><em>2(</em><em>x+4)</em><em>-4</em>
производная равна 2(x-9)(x+4)+(x-9)^2
2(x-9)(x+4)+(x-9)^2=0
(x-9)(2x+8+x+9)=0
(x-9)(3x-1)=0
X=9 x=1/3 (не принадлежит отрезку)
Y(9)=-4
Y(7)=40
Y(16)=976
Среди найденных значений выбираем наименьшее, т.е. y(9)=-4
если правильно отметь как лучшее
ОДЗ
{x≠0
{5-4x>0⇒4x<5⇒x<1,25
x∈(-∞;0) U (0;1,25)
log(2)(x^-2)/log(2)(0,25)≥log(2)(5-4x)/log(2)4
-2log(2)x/(-2)≥log(2)(5-4x)/2
log(2)x²≥log(2)(5-4x)
x²≥5-4x
x²+4x-5≥0
x1+x2=-4 U x1*x2=-5
x1=-5 U x2=1
+ _ +
--------------------[-5]-------------------[1]----------------------
x≤-5 U x≥1
\\\\\\\\\\\\\\\\\\\\\ ////////////////////////////////////////
---------------[-5]-------(0)--------------[1]-----------(1,25)-----------
/////////////////////////////////\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(-∞;-5] U [1;1,25)