An inverse function is a function that reverses another function, so we have a function called:
![p(x)](https://tex.z-dn.net/?f=p%28x%29)
Then, the inverse function will be as follows:
![p^{-1}(x)](https://tex.z-dn.net/?f=p%5E%7B-1%7D%28x%29%20)
Given that
![y = p(x)](https://tex.z-dn.net/?f=y%20%3D%20p%28x%29)
, we need to isolate x in terms of y:
![y = x^{2} -9](https://tex.z-dn.net/?f=y%20%3D%20%20x%5E%7B2%7D%20-9)
∴
![y+9 = x^{2}](https://tex.z-dn.net/?f=y%2B9%20%3D%20x%5E%7B2%7D)
So:
![x=+\sqrt{y+9}](https://tex.z-dn.net/?f=x%3D%2B%5Csqrt%7By%2B9%7D)
and
![x=-\sqrt{y+9}](https://tex.z-dn.net/?f=x%3D-%5Csqrt%7By%2B9%7D)
therefore, exchanging variables x and y:
![y=+\sqrt{x+9}](https://tex.z-dn.net/?f=y%3D%2B%5Csqrt%7Bx%2B9%7D)
and
![y=-\sqrt{x+9}](https://tex.z-dn.net/?f=y%3D-%5Csqrt%7Bx%2B9%7D)
![p^{-1}(x)=+\sqrt{x+9}](https://tex.z-dn.net/?f=p%5E%7B-1%7D%28x%29%3D%2B%5Csqrt%7Bx%2B9%7D)
and
![p^{-1}(x)=-\sqrt{x+9}](https://tex.z-dn.net/?f=p%5E%7B-1%7D%28x%29%3D-%5Csqrt%7Bx%2B9%7D)
Which are the figures shown below.
Answer:
B
Step-by-step explanation:
Hope this helps!
225 percent = 2.25
=2 25/100 = 2 1/4
Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure
![41 + 77 + x = 180](https://tex.z-dn.net/?f=41%20%2B%2077%20%2B%20x%20%3D%20180)
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: ![118 + x = 180](https://tex.z-dn.net/?f=118%20%2B%20x%20%3D%20180)
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: ![x = 62](https://tex.z-dn.net/?f=x%20%3D%2062)
Therefore, the third angle must have a measure of 62°.
Answer:
51°,51°,78°
Step-by-step explanation:
The sum of angles in a triangle add up to 180°