Define H: R − {1} → R − {1} and J: R − {1} → R − {1} as follows. H(x) = J(x) = x + 1 x − 1 for each x ∈ R − {1} Compute the compositions H ∘ J and J ∘ H to determine if J and H are inverses for each other. (Simplify your answers completely.) For every x in R − {1}, (H ∘ J)(x) = H(J(x)) = H = x + 1 x − 1 + 1 − 1 = 2x = Now use the definition to find J ∘ H. For every x in R − {1}, (J ∘ H)(x) = J = Thus, ---Select--- the identity function on R − {1}, and so H and J ---Select--- inverses for each other.