We find inverse in two scenarios
- When f is given as set
- When f is given as a function
When f is given as set
f = {(1, 4), (2, 5), (3, 6)}
In f -1 ,
We reverse all the elements
(1, 4) becomes (4, 1)
(2, 5) becomes (5, 2)
(3, 6) becomes (6, 3)
∴ f -1 = {(4, 1), (5, 2), (6, 3)}
When f is given as
f(x) = 2x + 1
We put f(x) = y
and find y in terms of x
f(x) = 2x + 1
y = 2x + 1
y – 1 = 2x
2x = y – 1
x = (y - 1)/2
∴ f -1 = (y - 1)/2
To summarise
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