Which represents the inverse of the function f(x) = 4x? *h(x) = x + 4 *h(x) = x – 4 *h(x) = 3/4x *h(x)=1/4x

The inverse of f(x) = 4x is h(x) = (1/4)x, or h(x) = x/4

Step-by-Step Procedure:

Let's go through the actual steps to determine the correct inverse, h(x), of the given function f(x) = 4x.

1.  Start by replacing the label "f(x)" with y:  y = 4x

2.  Interchange the variables x and y:  x = 4y

3.  Solve this equation for y:  y = x/4

4.  Replace the label "y" with h(x):  h(x) = x/4.  Note that this h(x) is the inverse of the function f(x).  Also note that "x/4" is clearer and less ambiguous than 1/4x (which could mistakenly be read as "1 over 4x").

Match this up with the fourth possible  h(x) = (1/4)x