Question

Find the inverse of y = 3x2 + 4. Is the inverse a function?

Answer 1

@Hero

Answer 2

0. You are given \(y = 3x^2 + 4\)
1. Subtract 4 from both sides.

Answer 3

-4 +y= 3x^2
@Hero

Answer 4

2. Write it as \(y - 4 = 3x^2\)
3. Now divide both sides by 3.

Answer 5

x^2 = 1/3y -4/3 @Hero

Answer 6

4. Write it as \(\dfrac{y - 4}{3} = x^2\)
5. Next, square root both sides. and simplify. Remember \(\sqrt{a^2} = \pm a\)

Answer 7

x= 2 sqrty/ sqrt 3

Answer 8

6. If you take the square root of both sides, you should have:
\(\pm\sqrt{\dfrac{y - 4}{3}} = x\)

Answer 9

7. Swap \(x\) and \(y\).

Answer 10

square root x-4 /3 =y

Answer 11

8. If you write the result in horizontal form, you must use parentheses to clarify what expressions belong in the square root, what expressions belong in the denominator, numerator, etc.
9. Do not forget the plus/minus symbol.
10. The correct result for the inverse of the given equation is ±sqrt((x - 4)/(3)) = y

Answer 12

11. The plus/minus symbol implies that for the resulting inverse equation, there are two outputs \(y\) for every input \(x\).

Answer 13

so is it a funtion

Answer 14

For a function, how many outputs should there be for each input?

Answer 15

1

Answer 16

So what can we conclude about the inverse of the given equation?

Answer 17

it is a solution?

Answer 18

12. The inverse of the given equation is not a function.

Answer 19

https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgLDBUexsJfHB.5rGOzcBm-rQDH5ZaE_3S2B/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l1%2021.jpg
so this would be my answer?

Answer 20

@Hero

Answer 21

Yes, that is correct.

Answer 22

thank you can you help me with a couple more?

Answer 23

Maybe