Hi, I just want to make sure of something, basically the question is asking to draw a translated function with the following properties :

can be represented by either a circle graph and a sinusoidal function (f(x)= sin x + 3) ? right? If so what is the equation for the circle graph?b)The range is {g(x)E R | 2<=g(x)<=4}

Answer can be either f(x)= 1/(x-5) + 3 and f(x) = -1(x-5) + 3 correct?c)The domain is {x E R | x!=5}, and the range is {h(x) E R | h(x) != -3}.