Answer: The value of
is
.
Step-by-step explanation:
Given: ![f(x) = 4x^2 \text { and } g(x) = x+1](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%5E2%20%5Ctext%20%7B%20and%20%7D%20g%28x%29%20%3D%20x%2B1)
To find: ![(f_\circ g)(x)](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%28x%29)
As we know it is composition function which means that g(x) function is in f(x) function.
So we have
![(f_\circ g) (x) = f[g(x)]](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%20%28x%29%20%3D%20%20f%5Bg%28x%29%5D)
![\Rightarrow( f_\circ g)(x)= f(g(x)) = 4(g(x))^2](https://tex.z-dn.net/?f=%5CRightarrow%28%20f_%5Ccirc%20g%29%28x%29%3D%20f%28g%28x%29%29%20%3D%204%28g%28x%29%29%5E2)
Now substitute the value of g(x) we get
![(f_\circ g)(x)= 4(x+1)^2](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%28x%29%3D%204%28x%2B1%29%5E2)
Hence, the value of
is
.
Answer:
4
Step-by-step explanation:
thanks so much 2+2 equals 4 because that what it equals theres bo ther way
Answer:
y = -19x + 14
Step-by-step explanation:
For each increase of x by 1, y decreases by 19, giving us -19x. When x = 0, y = 14, therefore, y = -19x + 14
Answer is
5, the third option
Answer:
Negative: (-∞,-3] and [1/2,-∞)
Positive: [-3,1/2]
Step-by-step explanation:
The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.