which represents the inverse of the function f(x) = 4x?\n○ h(x) = x + 4\n○ h(x) = x - 4\n○ h(x) =…

which represents the inverse of the function f(x) = 4x?\n○ h(x) = x + 4\n○ h(x) = x - 4\n○ h(x) = \\frac{3}{4}x\n○ h(x) = \\frac{1}{4}x

which represents the inverse of the function f(x) = 4x?\n○ h(x) = x + 4\n○ h(x) = x - 4\n○ h(x) = \\frac{3}{4}x\n○ h(x) = \\frac{1}{4}x

Answer

Explanation:

Step1: Let (y = f(x))

Let (y = 4x).

Step2: Solve for (x) in terms of (y)

Divide both sides by 4, we get (x=\frac{y}{4}).

Step3: Swap (x) and (y)

The inverse function (h(x)=\frac{1}{4}x).

Answer:

D. (h(x)=\frac{1}{4}x)