SOLUTION: Determine whether the given function is invertible. If it is invertible, then find its inverse. {(13,0),(10,9),(9,10)}

Question 4938: Determine whether the given function is invertible. If it is invertible, then find its inverse. {(13,0),(10,9),(9,10)}
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
The inverse of a function simply means to interchange the x and the y. In this case, instead of { (12,0), (10,9), (9, 10) } interchange the x and y to get { (0, 12), (9, 10), (10, 9) }, and ask yourself, "Is this a function?" In other words, does each x value have a unique y value, or is there some value of x for which there are two y values? In this case, each x value has a unique y value, so this inverse IS a function.

By thw way, an example that is NOT a function would be like { (0, 12) (0, 10), (4, 2) }

In summary, the inverse is { (0, 12), (9, 10), (10, 9) }.

R^2 at SCC
RELATED QUESTIONS
Determine whether the given function is invertible. If it is invertible, then find its... (answered by rapaljer)

needed help! determine whether the function {(13,0), (10,-9), (9,-10)} is invertible. If (answered by stanbon)

determine if the function {13,0}, {10,-9}, {9,-10}, is invertible and what is its... (answered by funmath)

For each of the following functions, determine if the function is increasing, decreasing, (answered by CPhill)

Some functions that aren't invertible can be made invertible by restricting their... (answered by stanbon)

Determine whether the given function is one-to-one. If it is one-to-one, find its... (answered by Theo)

For each of the following, determine if the function is increasing, decreasing, even,... (answered by MathLover1)

Determine whether each relation below is a function; then determine if it is invertible... (answered by ikleyn)

Functions that aren't invertible can be made invertible by restricting their domains. For (answered by greenestamps)