The exhaustive domain of the following function is fx=x12-x9+x4-x+1

fx=x12-x9+x4-x+1We must have x12-x9+x4-x+1≥0                            (1)Obviously, (1) is satisfied by x∈-∞,0.Also,   x9x3-1+xx3-1+1≥0∀x∈1,∞.Further,   x12-x9+x4-x+1=1-x+x41-x5+x12   is  alsosatisfied   by   x∈0,1.Hence,  the   domain  isR.