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.

associative property of multiplication

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

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