f(x)=
x²/³ (6-x)²/³ =
(x(6-x))²/³ x-1 x-11.a) x-1≠0 x≠1D(f)=(-∞; 1)U(1; +∞)б) f(3-x)=
((3-x)(6-(3-x))²/³ =
((3-x)(3+x))²/³ =
(9-x²)²/³ 3-x-1 2-x 2-xf(3+x)=
((3+x)(6-(3+x)))²/³ =
((3+x)(3-x))²/³ =
(9-x²)²/³ 3+x-1 2+x 2+x(f(3-x)+f(3+x))³ = [
(9-x²)²/³ +
(9-x²)²/³]³ = [
(9-x²)²/³ (2+x) + (9-x²)²/³ (2-x)]³ = [ 2-x 2+x ] [ (2-x)(2+x) ]= [
(9-x²)²/³ (2+x+2-x)]³ =
4³ (9-x²)² [ 4-x² ] (4-x²)³При х=2√3
4³ (9-(2√3)²)² =
64 (9-12)² =
64 * (-3)² =
64*9 = -9/8 (4-(2√3)²)³ (4-12)³ (-8)³ (-8)² * (-8)