How to perform operation on Arraylist?

Let f(x) = x2 + 5 and g(x) = x – 7. Perform each function operation. Then find the domain of each.?

• Let f(x) = x2 + 5 and g(x) = x – 7. Perform each function operation. Then find the domain of each. 28. f(x) / g(x) a.) x-7/x^2+5; all real numbers except -sqt5 b.) x-7/x^2+5; all real numbers c.) x^2+5/x-7; all real numbers except 7 d.) x^2+5/x-7; all real numbers i think 28 is D 29. f(x)-2g(x) a.) x^2-2x+19; all real numbers b.) x^2-2x+9; all real numbers c.) x^2+2x+19; all real numbers d.) x^2+2x+9; all real numbers 30. f(x)*g(x) a.) -8x^2+5x-35; all real numbers b.) x^2-2x-35; all real numbers c.) x^3-2x^2+5x-35; all real numbers d.) x^3-7x^2+5x-35; all real numbers i think 30 is C please help me and let me know if the answer i do have are correct! i will pick a best answer!!

• Answer:

  C - because when x=7, the denominator is x - 7 = 7 - 7 = 0 which is not defined. Obviously, f(x) / g(x) = (x^2 + 5) / (x - 7) A - because f(x) -2(g(x)) = f(x) -(2x - 14) = -2x + 14 + f(x) = x^2 - 2x + 19 D - because f(x)*g(x) = (x^2 + 5)(x - 7) = x^3 - 7x^2 + 5x- 35