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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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Anvisha [2.4K]
The ratio would be
45/100
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Hope this helps!
7 0
3 years ago
Read 2 more answers
Question
maria [59]

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

3 0
2 years ago
Solve for k.<br> 6k - 8 = 4K + 15
Brut [27]

Hi,

Answer:

k = \frac{23}{2}

Step-by-step explanation:

Subtract 4k from both sides

6k - 4k = 2k

2k - 8 = 15

Add 8 on both sides (you want to get rid of the 8 in order to leave the k alone)

2k = 23

k = 23/2

Have a good day!

4 0
3 years ago
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How do you simply radicals
ahrayia [7]
What r radicals????????
4 0
3 years ago
Simplify each answer into a fraction, Please show work as well!
scoray [572]

Answer: 1) 8/15 2) 2 4/9 3) -13/45

Step-by-step explanation:

1/5 + 1/3 = 6/30 + 10/30 = 16/30 = 8/15

2 1/9 + 1/3 = 19/9 + 3/9 = 22/9 = 2 4/9

1/9 - 2/5 = 5/45 - 18/45 = -13/45

7 0
2 years ago
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