Given that k(x)

Question

is a one-to-one function and k^−1(x)
is the inverse of k(x)
, if k^−1(12)=1/15
and k^−1(15)=12
, explore the function numerically to determine k(12)
.(1 point)
Responses

k(12)=15
k left parenthesis 12 right parenthesis equals 15

k(12)=−15
k left parenthesis 12 right parenthesis equals negative 15

k(12)=1
k left parenthesis 12 right parenthesis equals 1

k(12)=1/15

Answer 1

Given that \( k^{-1}(12) = \frac{1}{15} \), we know that:

\[ k\left(\frac{1}{15}\right) = 12 \]

Similarly, from \( k^{-1}(15) = 12 \), we know that:

\[ k(12) = 15 \]

Thus, \( k(12) = 15 \).

The correct response is:

k(12) = 15