Question

Hello, May I please get some assistance with this homework question? I posted an image below Q4

Answer 1

Step-by-step explanation

Given the ordered pair

`\mleft\lbrace(10,9\mright),(-5,4),(3,-1)(9,11),(4,-12)\}`

Part A

The inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function. In plain English, finding an inverse is simply the swapping of the x and y coordinates.

Answer

`\mleft\lbrace(9,10\mright),(4,-5),(-1,3),(11,9),(-12,4)\}`

Part B

Having gotten the inverse of the ordered pair, the domain is the set of all first elements of ordered pairs (x-coordinates).

Answer

`\mleft\lbrace9,4,-1,11,-12\mright\rbrace`

Part C

The range is the set of all second elements of ordered pairs (y-coordinates).

Answer

`\mleft\lbrace10,-5,3,9,4\mright\rbrace`