To find the inverse of a function, I usually follow these easy steps:
Start with the Function: Let’s take a function like .
Change to : Now, we change it to .
Switch and : Next, we swap and . This gives us .
Solve for : Now, we want to get by itself. First, subtract 3 from both sides: . Then, divide by 2 to find : .
Write the Inverse: Finally, we can write the inverse as .
This method works for most functions.
Keep in mind, though, not all functions have inverses.
You should check if the function is one-to-one.
You can do this by using the horizontal line test!
To find the inverse of a function, I usually follow these easy steps:
Start with the Function: Let’s take a function like .
Change to : Now, we change it to .
Switch and : Next, we swap and . This gives us .
Solve for : Now, we want to get by itself. First, subtract 3 from both sides: . Then, divide by 2 to find : .
Write the Inverse: Finally, we can write the inverse as .
This method works for most functions.
Keep in mind, though, not all functions have inverses.
You should check if the function is one-to-one.
You can do this by using the horizontal line test!