Let f(x)=2x+4i, g(x)=ix, and h(x)=x−2i. Which two of the functions above can be composed to create a function with a range of all real numbers? Show the steps of your function composition and explain in words what happened in that composition process to "lose" the imaginary part of the complex numbers from the original functions.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.