Given:
The function are


To find:
The value of  .
.
Solution:
We have,


We need to find the value of  .
.
 
            ![[\because (f\circ g)(x)=f(g(x))]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28f%5Ccirc%20g%29%28x%29%3Df%28g%28x%29%29%5D)
 
            ![[\because g(x)=\sqrt{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Csqrt%7Bx%7D%5D)
 
      
 
                  ![[\because f(x)=x^2-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2-1%5D)
 
      
 
      
The value of  is 0.
 is 0.
Therefore, the correct option is A.
 
        
             
        
        
        
Answer:

And we can find this probability like this:

And we can replace the values and we got:

Step-by-step explanation:
For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:
Y     |     0          1        2         3         4
P(Y) | 0.005  0.114  0.429  0.381  0.071
And we want to find the following probability:

And we can find this probability like this:

And we can replace the values and we got:

 
        
             
        
        
        
2*4*8 is 64 2*4 is 8 and 8*8 is 64
        
             
        
        
        
Answer:
y = 2
Step-by-step explanation:
y ∝ kx
y =  × 9 =
 × 9 = 
 
        
             
        
        
        
To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.
Area of a rectangle:
A = l × w             [ l = 11 in ; w = 6in ]    Plug these numbers into the equation
A = 11 · 6 
A = 66 in²
Area of a triangle:
 [ b = 4 in ; h = 6 in ] Plug these #s into the equation
     [ b = 4 in ; h = 6 in ] Plug these #s into the equation


A = 12 in²
Area of rectangle - Area of triangle = Area of the shaded region
66 in² - 12 in ² = 54 in²
Your answer is B