Find an equation of the inverse relation.

A.
B.
O.
OD.

To find the inverse of the given equation , we start by swapping and to solve for . This gives us . Now, isolate by subtracting 7 from both sides: . Finally, divide by 5 to get .

Therefore, in terms of the options provided, we rearrange it as , which matches option OD.

So the correct answer is OD: .

One common mistake when finding inverses is forgetting to swap and first. Many students will just solve for without that step, leading to incorrect results. Always remember: swap first, then solve!

If you’re curious to dive deeper into inverses, the concept of functions being one-to-one is crucial. A function needs to pass the horizontal line test to ensure it has an inverse. If a horizontal line crosses the function more than once, it means there’s no unique inverse relation for that function — a fun twist in the world of algebra!