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2 years ago

Find the inverse of the radical function. Enter the correct answer in the box.

Mathematics

1 answer:

choli [55]2 years ago

7 0

The inverse of the given function is y = x³ + 2

<h3>Finding inverse of a radical function</h3>

Given the radical function below expressed as;

f(x) = ∛x-2

This can be written as;

y = ∛x-2

Replace y with x

x = ∛y-2

Take the cube of both sides

x³ =y - 2

y = x³ + 2

Hence the inverse of the given function is y = x³ + 2

Learn more on inverse of a function here: brainly.com/question/3831584

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What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-<br> sect?

Kitty [74]

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:

x^2 - 2x + 1 = x^2 + 2x - 7

We now do algebra to isolate x. Subtract 1 from both sides.

x^2 - 2x = x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x = x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

5 0

3 years ago

Which represents a function?

VLD [36.1K]

Answer:

$\boxed{ \text{Option \: D}}$

Step-by-step explanation:

All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.

If the vertical line intersects the graph of a relation at one point , the relation is a function .
If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.

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Let's check all of the options :

☐ Option A :

The vertical line cuts the graph at two points. So , the graph does not represent a function.

☐ Option B

No! This is also not a function as the vertical line cuts the graph at two points.

☐ Option C

Nah! This too can't be called a function as the vertical line cuts the graph at two points.

☑ Option D

Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.

Yayy!! We found our answer. It's ' Option D '.

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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4 0

3 years ago

Jill collected a total of 19 gallons of honey.if she distributes all of the honey equally between 9 jars,how much honey will be

sergeinik [125]

Answer:

2.1 gaallons of honey

Step-by-step explanation:

If you have to istrubute things then its obvous you need to divide something. To get 19 equally into 9 containers you divide 19 by 9 an get 2.1

I hope this helped

8 0

3 years ago

Someone that understand this can help me out?

Kryger [21]

Plug in -2 to x in the formula
So f(-2)= ((-2)+1)^2
Your answer should be: 1

7 0

3 years ago

You earn $21.00 per hour at your job. If you get a 9% raise at the end of each year, what will your hourly rate, h, be after 5 y

NikAS [45]

Plug in the info given and solve:

h = 21(1.09)^5
h = $32.31

3 0

3 years ago