If \( x \) is divided by 2 and then 4 is subtracted, then the function is \( f(x)=x \div 2-4 \). What are the steps to find the inverse to this function? a.) Divide by 4 , then subtract by 2 b.) Multiply by 2 , then add 4 c.) Subtract 2 , then multiply by 4 d.) Add 4 , then multiply by 2

To find the inverse of the function \( f(x) = \frac{x}{2} - 4 \), you want to reverse the operations performed on \( x \). Start by isolating \( x \) in terms of \( y \). First, you can add 4 to both sides to counteract the subtraction, giving you \( y + 4 = \frac{x}{2} \). Next, multiply both sides by 2 to eliminate the division, resulting in \( x = 2(y + 4) \). Once rearranged, you'll see that the correct operation is indeed to first add 4, and then multiply by 2. So the correct answer is: d.) Add 4, then multiply by 2. Now you can express the inverse function as \( f^{-1}(y) = 2(y + 4) \), which neatly reverses the original transformation performed by \( f(x) \). Happy calculating!