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RideAnS [48]
3 years ago
11

For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\

Mathematics
1 answer:
kkurt [141]3 years ago
7 0
An inverse function is a function that reverses another function, so we have a function called:

p(x)

Then, the inverse function will be as follows:

p^{-1}(x)

Given that y = p(x), we need to isolate x in terms of y:

y =  x^{2} -9
∴ y+9 = x^{2}

So:

x=+\sqrt{y+9} and x=-\sqrt{y+9}

therefore, exchanging variables x and y:

y=+\sqrt{x+9} and y=-\sqrt{x+9}
p^{-1}(x)=+\sqrt{x+9} and p^{-1}(x)=-\sqrt{x+9}

Which are the figures shown below.

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If a= 2ft and c= 11ft. Find the missing side of the right triangle
dlinn [17]

Answer:

\sqrt{117} or 3\sqrt{13}

Step-by-step explanation:

The formula for finding the any side of the triangle is

a^{2}+b^{2} =c^{2}

We know that a=2 and c=11, so we can go ahead and plug those into the formula.

2^{2}+b^{2} =11^{2}

4+b^{2} =121

To find side b, we have to make it alone on one side. Subtract 4 on both side.

b^{2} =117

Now square root both sides, and that leaves us with:

b=\sqrt{117} or 3\sqrt{13}

6 0
3 years ago
. (07.01) Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the
mash [69]

The tree diagram shows that there are a total of six sample spaces.

 math------science

 art

 

  science---math

 

  art---math

 science

 

  math---art

 

  art---science

 math

 

 science---art

 

 Based on the tree diagram, the probability that the science project is first is two over six. This is because science appears first in two out of the six sample spaces (boldened).

8 0
3 years ago
Read 2 more answers
Can someone plz help me
omeli [17]

Answer:

54 sq ft

Step-by-step explanation:

6ft x 3 ft = 18 sq ft

9 ft x 4 ft = 36 sq ft

18 sq ft + 36 sq ft = 54 sq ft

The choices should be in sq ft, not in sq cm

The value of area in sq cm would be far greater than the value of area in sq ft.

3 0
3 years ago
The soccer field measures 80 meters by 120 meters. Which is the correct unit of measurement to figure out how much fertilizer is
Ber [7]
To find out the area of the field, you just need to multiply 80 meters by 120 meters.

80 meters * 120 meters = 9600 meters²

Therefore, the unit of measurement to figure out how much fertilizer is needed to cover the field is meters².
6 0
3 years ago
¡¡ANSWER ME FIRST¡¡<br><br> Can you please answer these questions?
rusak2 [61]

Answer:

x= 6

Step-by-step explanation:

12x +4 = 10x+16 \\

You will subtract 10x from 12x and get 2x

2x + 4 = 16

Subtract 4 from 16 to get 12

2x = 12

You will then divide both sides by 2

\frac{2x}{2} = \frac{12}{2}

x= 6

The second one is hard to read but since ∠3 is 54° you should just start from there

Hope this helps

4 0
3 years ago
Read 2 more answers
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