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45 votes
45 votes
Find the inverse of function of a function g=((a,1),(b,2),(2,3),(d,4))​

User David Ingledow
by
3.0k points

2 Answers

15 votes
15 votes

Answer:

g inverse = (1,a),(2,b),(c,3),(4,d)

Explanation:

I think the third part of the question should be (c,3) not (2,3)

if it's (2,3) then the inverse becomes (3,2)

User Bernie Hackett
by
2.2k points
14 votes
14 votes

Answer:

Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}

Explanation:

Hey there! :)

Please see an explanation below for better understanding to the answer - also let me know if you have any questions!

What is Inverse Function?

Inverse Function is a function that swaps domain and range.

What are domain and range?

Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).

Steps

If (x,y) is an original function then (y,x) will be an inverse function of original.

We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.

Therefore, the inverse of function g is
\displaystyle \large{g^(-1)} = {(1,a),(2,b),(3,2),(4,d)}

User Marek Sapota
by
3.5k points
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