In this paper, we deal with the nonhomogeneous nonlocal dispersal equation∫ΩJ(x−y)u(y)dy−u(x)+λu(x)−a(x)up(x)+Mf(x)=0,x∈Ω¯, where Ω is a bounded and smooth domain, p>1 and the parameters M,λ>0. The kernel function J(x) is nonnegative and symmetric, and the coefficients a,f∈C(Ω¯) are assumed to be nonnegative. We are interested in the existence, uniqueness and asymptotic profiles of positive solutions. It is shown that the structure of positive solutions makes a fundamental change due to the nonhomogeneous effect. Moreover, we study the sharp profiles of positive solutions when there is a spatial degeneracy of a(x). The result exhibits that the blow-up profiles are determined by the degeneracy of a(x).