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.

If δmtv is reflected across the y-axis, what are the resulting coordinates of point m? a) (-2, 5) b) (-5, 2) c) (5, -2) d) (-2, -5)

Question 1(multiple choice worth 1 points)(07.06 mc)a group of students must collect at least $150 to organize a science fair. they have already collected $30. which graph best represents all remaining amounts of money, in dollars, that thestudents should still collect to organize the science fair? -210 -180 -150 - 120 -90-60 -300306090 120 150 180 210-210 -180 -150 - 120 -90 -60 -30 0 30 60 90 120 150 180 210-210 -180-150 - 120 -90-60-300 30 60 90 120 150 180 210-210 -180 -150 - 120.90 -60 -30 0 30 60 90 120 150 180 210

Adrawer contains 12 identical white socks, 18 identical black socks and 14 identical brown socks. what is the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same colour?