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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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Please help this is due in 30 minutes!​
gregori [183]

Answer:

1.\ 12\ feet = 4\ yards

2.\ 4\ miles = 21120\ feet

Step-by-step explanation:

Given

12 feet = _____ yard

4 miles = ____ feet

To start with;

we need to understand the unit of conversion between the two measurements;

1. 12 feet = _____ yard

To convert from feet to yard;

1\ foot = \frac{1}{3} yard

This implies that;

12\ feet = 12 * \frac{1}{3} yard

12\ feet = \frac{12}{3} yard

12\ feet = 4\ yards

2. 4 miles = ____ feet

To convert from miles to feet;

1\ mile = 5280\ feet

This implies that;

4\ miles = 4 * 5280 feet

4\ miles = 21120\ feet

8 0
3 years ago
What is the slope of the line shown​
katovenus [111]

Answer:

-1/2

Step-by-step explanation:

Pick two points on the line

(-2,3) and (2,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-3)/(2 - -2)

   = (1-3)/(2+2)

    = -2/4

   = -1/2

7 0
2 years ago
Read 2 more answers
How do you simplify 2/3 divided by 1/3
suter [353]

Answer:

2

Step-by-step explanation:

Solve. To do so, change the division sign into a multiplication sign, and flip the second fraction:

(2/3)/(1/3) = (2/3) x (3/1)

Multiply across:

(2 * 3)/(3 * 1) = (6)/(3)

Simplify:

6/3 = 2

2 is your answer.

~

8 0
2 years ago
How many times does 21 go into 457 with a remainder
kvv77 [185]

Answer:

21 r16

Step-by-step explanation:

8 0
3 years ago
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For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
shepuryov [24]

Answer:

pretty sure it's B

Step-by-step explanation:

domain is x numbers and that has all the x numbers in it

4 0
3 years ago
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