Suppose x is a collection of all binary representations of all real numbers. if f: x→r(where r is a collection of all real numbers) is function defined by f(x) is a decimal representation of x. (i) find f(10011012) (ii) does f-1 (x) exist? explain in detail. if f-1 (x) exists then define it and find f-1 (2043.2) 2. if f(x)=5 and g(x)=2x+1 then find ∘ and ∘ .

Afunction is given: f(x)=3x+12 a. determine the inverse of this function and name it g(x) b. use composite functions to show that these functions are inverses. c. f(g(– explain: what is the domain?

Come up with a new linear function that has a slope that falls in the range 10 m − < < . choose two different initial values. for this new linear function, what happens to the function’s values after many iterations? are the function’s values getting close to a particular number in each case?

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.