Part of the domain of the function f(x)=cos⁡x−1/26+35x−6x2  lying in the interval [–1, 6] is

The function f is meaningful only if cos x-1/2≥0 , 6+35x 6x2 >0                 or cos x -1/2≤0, 6+35x 6x2<0 i. e. , cos x ≥1/2, (6-x)(1+6x)>0 or cos⁡x≤1/2,(6−x)(1+6x)<0 These inequalities are satisfied if x∈(−1/6,π/3]∪[5π/3,6)