Answer:
Step-by-step explanation:
<u>Composite Function</u>
Suppose f(x) and g(x) are real functions, the composite function named is defined as:
The composite function can be found by substituting g into f.
We are given these functions:
Find:
a) h(g(x))
Substituting g into h:
b) h(g(f(x))
First we find g(f(x)):
Operating:
Simplifying:
Now find h(g(f(x)) replacing the above equation into h:
Simplifying and rearranging:
Answer:
The images of the question are missing, I found a matching question and image online, and it is in the attachments.
Answer:
The scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
Step-by-step explanation:
From the image, the right triangle on the left has the following dimensions:
Hypotenuse = 10
length of one side = 10
While the right triangle on the right has the following:
Hypotenuse = 20
Length of one side = 20
From the dimensions above it can be seen that the triangle on the right has a dimension of 2 times the triangle on the left:
Left (10) × 2 = right (20)
Therefore the scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
