Let $X=\{3, 5, 7, 10\}$ and let $Y=\{\text{fish}, \text{lion}, \text{penguin}, \text{cow}\}$ Let $f$ be a function from $X$ to $Y$ defined by
$f(3)=$ lion,
$f(5)=$ cow,
$f(7)=$ fish,
$f(10)=$ penguin
The function $f$ is an inverse function. Calculate the inverses:
a) $f^{-1}$(fish)$=$
b) $f^{-1}$(lion)$=$
c) $f^{-1}$(penguin)$=$
d) $f^{-1}$(cow)$=$
Whaaaaaat. I understand nothing. Please advise!
The function $f$ is an inverse function. Calculate the inverses:
a) $f^{-1}(\text{fish})= 7$
b) $f^{-1}(\text{lion})= 3$
c) $f^{-1}(\text{penguin})= 10$
d) $f^{-1}(\text{cow})= 5$
In general, the inverse function sends values from the codomain (in this case $Y$) to the domain (in this case $X$).