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

User David Ingledow
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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
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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
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3.5k points