Question

2. If (2, 3) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the inverse
of F(x)?
Answer Choices:
(3, 2)
(-2,-3)
(2,3)
(-3,-2)

Answer 1

Answer:

Inverse:  (3, 2)

Step-by-step explanation:

Given the point, (2, 3), as an ordered pair of the function, f(x):

Since we know that for any functions, there is a one-to-one correspondence between each domain and range values.  Conversely, each range value also corresponds to one domain value.  

The inverse of a function, $f^{-1}(x)$, also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.

Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, $f^{-1}(x)$, must be (3, 2).