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zalisa [80]
3 years ago
8

Find the inverse function for

Mathematics
1 answer:
kifflom [539]3 years ago
6 0
\bf \stackrel{f(x)}{y}=\sqrt{2x-6}\qquad \qquad \stackrel{f^{-1}(x)}{y}=\cfrac{x^2+6}{2}

that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.

now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse.  Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

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PLEASE HELO OK 1,3,4 ITS DUE TOMORROW
sukhopar [10]

#1. The number line goes by intervals of 0.2, so if A is equal to 7.28, then it’ll go in between the first line after 7 and the second line after 7. This is similar with B and C. B will go on the second line after 9, and C will go in between the second and third line after 10.

#3. You started out well. You combine your like terms on the sides of the equation to get 8x - 2 = 4x + 6. Then, you’ll subtract 4x to get 4x - 2 = 6. Add 2 to get 4x =8, then divide by 4 to get x = 2. On the other one, combine your terms to get -6 + 5y = 29. Then, add 6 so you have 5y = 35. Divide by 5 to get y = 7.

#4. When you classify a number, you need to classify it as whatever it is in your disgramdiagram, and the larger ones as well. For example, -2 is an integer, so it is also a rational number. 3/4 is a rational number. The square root of 2 over 2 is an irrational number. 292 is a counting, whole, integer, and rational number. -19/3 is a rational number. 6.9696... is an irrational number. (It has the three dots [...] so it’ll go on forever with no pattern.)

I hope this helps! Please tell me if you need any clarification. :)

3 0
3 years ago
Read 2 more answers
How does a digit in the ten thousands place compare to a digit in the thousands place?
andre [41]
Um I think it's like because there's a zero difference like ten thousands have more zeros
3 0
3 years ago
70 - 5x = number of people waiting in line to buy tickets x minutes after a ticket booth opened is given by 70 - 5x. What does t
Snowcat [4.5K]

Answer:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

Step-by-step explanation:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

You can see this by setting the x value to 0, it is, in the precise moment when the booth opened (as x cant be negative, because there is no negative time, you could also think of 70 as the number of people waiting before the booth opens).

4 0
3 years ago
A truck driver drove 48 miles for 45 minutes. At this rate, how many miles can the truck driver drive in one hour?
alexandr1967 [171]

Answers

2880

Step-by-step explanation:

48 miles = 1 minute

? = 60 minutes( 1hr )

1hr = 48 × 60 = 2880miles

7 0
2 years ago
The scale factor from S to M is 3/2 What is the scale factor from M to S
natita [175]

we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

<h3></h3><h3>What is the scale factor from M to S?</h3>

Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.

So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:

M = S*K

If that scale factor is 3/2, then we have the case of the problem:

M = (3/2)*S

We can isolate S in the above relation:

(2/3)*M = S

Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.

Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

If you want to learn more about scale factors:

brainly.com/question/25722260

#SPJ1

3 0
1 year ago
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