anonymous
  • anonymous
Help Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is {-7, -6, -5, -4} {7, 8, 9, 10} {0, 1, 2, 3}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
b part
eujc21
  • eujc21
plug and chugg
inkyvoyd
  • inkyvoyd
I don't know what either of those answers are, but I'll help if you work out the problem with me.

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More answers

anonymous
  • anonymous
Help me then
inkyvoyd
  • inkyvoyd
Do you remember what the domain and range of a function are?
anonymous
  • anonymous
Yep
inkyvoyd
  • inkyvoyd
Do you know what an inverse function is?
anonymous
  • anonymous
Yes I do
inkyvoyd
  • inkyvoyd
remember a function (here is a new abstract definition) is a operation that maps the domain onto the range. In this case you do not know what the domain of your function is. You do know, however, that the inverse of a function maps the range of the original function on to the domain. What answer are you leaning towards?
anonymous
  • anonymous
|dw:1378417045569:dw|
inkyvoyd
  • inkyvoyd
alright. You worked out the inverse of the function but it's not doing anything at all.
inkyvoyd
  • inkyvoyd
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. Let's define our own domain for this function. Call it {a,b,c,d}. tell me what the inverse of a, b, c, and d are.
anonymous
  • anonymous
I'm confused, do I plug them into the problem as x?
inkyvoyd
  • inkyvoyd
none of what I just said had anything to do with how to solve the problem except the first statement
inkyvoyd
  • inkyvoyd
let me start over. The domain of h inverse is always the range of h itself. Does this make sense to you?
anonymous
  • anonymous
yes
inkyvoyd
  • inkyvoyd
any function is a set of operations (or single operation) that takes an input and puts out an output. domain (aka input) -> range (aka output) an inverse function takes the output and returns the original input original range -> original domain
inkyvoyd
  • inkyvoyd
what is the original range of your function?
anonymous
  • anonymous
The output.. which is x-7?
inkyvoyd
  • inkyvoyd
yes, but I was looking for R={0, 1, 2, 3}
anonymous
  • anonymous
WOW ink is trying really hard. KUDOS!
inkyvoyd
  • inkyvoyd
if the range of your function is limited to 4 numbers, those 4 numbers are also the domain of the inverse function. From here on out I will refer to j(x) as inverse h(x)
inkyvoyd
  • inkyvoyd
stop trying to do all that algebra you were taught in class and think for a moment about why the range of your original function is the domain of the inverse function. When you really understand why, go back to your problem and it'll make more sense
anonymous
  • anonymous
It's because it is the inverse of the problem which is the opposite of it
inkyvoyd
  • inkyvoyd
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is?
inkyvoyd
  • inkyvoyd
now, understand you could've done it the second dude's way and plugged and chugged. I have a philosophy about life and math in general though: Why give yourself more work when you gain the same amount from it? Thus, I went through all the work and made you do even more work than plugging and chugging to understand the problem. It's all cause I'm an excellent troll.
anonymous
  • anonymous
That is very wise, yet mean of you to make me do more work.
inkyvoyd
  • inkyvoyd
#yolo
anonymous
  • anonymous
I was hoping you were going to make it easier for me
inkyvoyd
  • inkyvoyd
I did, I explained the meaning (or made you understand) of domain and range. when you get into harder math classes, plug and chug won't work unless you know what you are doing. if you just said yes along to make me give you the answer, well, I did make it harder for you :)
inkyvoyd
  • inkyvoyd
wait, tell me what answer you got
anonymous
  • anonymous
I got {-7, -6, -5, -4}
inkyvoyd
  • inkyvoyd
nope
anonymous
  • anonymous
-.-
inkyvoyd
  • inkyvoyd
dude
anonymous
  • anonymous
What, dude?
inkyvoyd
  • inkyvoyd
is this written or online?
anonymous
  • anonymous
written and online
inkyvoyd
  • inkyvoyd
the answer is 0,1,2,3
inkyvoyd
  • inkyvoyd
if you want to know why I can try to explain one last time.
anonymous
  • anonymous
please do :)
inkyvoyd
  • inkyvoyd
R={0, 1, 2, 3} be the range of h(x). Because any inverse function is a one to one relationship That means that h(x) is also D={a,b,c,d} -> R={0,1,2,3} therefore inverse h is {0,1,2,3}->{a,b,c,d} the domain of inverse h is {0,1,2,3}
anonymous
  • anonymous
Oh I see. I was doing a whole different kind of math -_-
inkyvoyd
  • inkyvoyd
do you get my logic.
anonymous
  • anonymous
I get your amazing logic
inkyvoyd
  • inkyvoyd
Seriously? If you don't get it I'll try again. I'm not even joking, it's important that you understand this.
anonymous
  • anonymous
I do understand this. I'm serious. Thanks for caring though.
inkyvoyd
  • inkyvoyd
alright, have fun doing the rest of the problems. :)
anonymous
  • anonymous
Thank you, sir :)

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