Question

What is the domain of the following function? Screenshot attached!!!

Answer 1

Think about it this way....For any quadratic such as x^2 -2x + 1...can you think of any number where inputting an x value will lead to a false output?

Answer 2

Let's try x = -4 and see what happens:

(-4)^2 -2(-4) + 1 = 16 + 8 + 1 = 24 + 1 = 25

25 is a real number right? So that works.

Lets try x = 3

(3)^2 -2(3) + 1 = 9 - 6 + 1 = 9 + 1 - 6 = 10 - 6 = 4

Hmmm, 4 is a real number as well.

How about zero...

(0)^2 -2(0) + 1 = 0 - 0 + 1 = 1

Geez, I'm having trouble finding an x value that will not work. How about you?

Answer 3

Okay, so what is the only answer choice that makes sense in this regard? Yes! :D

Answer 4

The domain is the set of inputs or x values that are valid for a particular function. In this case all real x-input values or all real numbers

Answer 5

x = 4y - 2

Answer 6

Sorry about that...typos

Answer 7

So from there, so should be able to solve for y

Answer 8

And isolating y will give you the inverse of the function

Answer 9

You're guessing :/

Answer 10

Add 2 to both sides. Let me know what you get afterwards

Answer 11

@uzUmakhi, I'm kindly asking you not to interrupt here. Please allow her to try to solve it .

Answer 12

see the graph and find out the value of x where value of is infinity

Answer 13

Okay, but let her try to solve it first, okay @uzumakhi?

Answer 14

Yes, but -2 + 2 = 0 so you don't have to include that part. You will just have


2 + x = 4y after adding 2 to both sides. Now, divide both sides by 4. Let me know what you get

Answer 15

You know what....B IS the answer. It didn't look that way at first. Sorry

Answer 16

Yes, but B is the answer anyways. You had it right all along.

Answer 17

That's what I'm trying to tell you

Answer 18

But now I'm curious as to how you figured out B. You seemed to have trouble isolating y when I asked you. I'm wondering if you guessed B. You will not be able to do that for every question you get. They should have given you a harder one.

Answer 19

Yes, and that's unfortunate because you will need to know how to do inverse functions in the future. You will not be able to guess every time. The process of finding the inverse isn't that difficult.