Complete the steps in order to write the inverse of \( f(x)=x+5 \) 1. \( \checkmark=x+5 \) 2. \( \checkmark=y+5 \) 3. \( \checkmark=y \) 4. \( \checkmark=x-5 \)

To find the inverse of the function \( f(x) = x + 5 \), follow these fun steps! First, switch \( f(x) \) with \( y \) so we get \( y = x + 5 \). Next, swap \( x \) and \( y \) to set up for the inverse: \( x = y + 5 \). Now, isolate \( y \) by subtracting 5 from both sides to get \( y = x - 5 \). Finally, since we're looking for the inverse function, write it as \( f^{-1}(x) = x - 5 \). Voilà! Remember, finding the inverse is like playing a game of hide and seek: you have to switch places to reveal the truth. Always keep in mind that not all functions have inverses. A function must be one-to-one (each output is linked to one unique input) to ensure it can be safely inverted. It's a bit like trying to flip a pancake: if it's too fluffy, it just won't flip, but a well-structured pancake will!