Answer:
<h3>From A to B.</h3>
The first transformation is a reflection across the x-axis, then a shift one unit down. Finally, a reflection acroos the line x = 1.5. These transformations give figure B.
<h3>From B to C.</h3>
To get figure C, we just need to do a 180° rotation across the origin. Or, you can see this transformation as a reflection acroos the origin, it would be the same result.
Answer:I dont see a image send a image and I will answer
Step-by-step explanation:
Answer: quit
Step-by-step explanation:
Answer:
excuse me, but how do we answer this? This question is unanswerable without it being a question!
Step-by-step explanation:
Answer:
Option B.
all real numbers
Step-by-step explanation:
We have
and ![g(x) = 1-5x ^ 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%201-5x%20%5E%202)
They ask us to find
(fog)(x) and it's Domain
To solve this problem we must introduce the function g(x) within the function f(x)
That is, we must do f(g(x)).
So, we have:
![f(x) = x ^ 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%5E%203)
![g(x) = 1-5x ^ 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%201-5x%20%5E%202)
Then:
![f(g(x)) = (1-5x ^ 2) ^ 3](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%281-5x%20%5E%202%29%20%5E%203)
The domain of the function f(g(x)) is the range of the function
.
Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers
Therefore the correct answer is the option b: ![f(g(x)) = (1-5x ^ 2) ^ 3](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%281-5x%20%5E%202%29%20%5E%203)
And his domain is all real.