Answer:
The restriction of the domain of f(g(x)) is that x cannot be 3.
Step-by-step explanation:
The first step to solve this question is finding the function, replacing the values. So



The function is a fraction, which means that the restriction is that the denominator cannot be zero. So


The restriction of the domain of f(g(x)) is that x cannot be 3.
I believe the correct answer is 0
Step-by-step explanation:
To solve this question, we use an abbreviation formula called BODMAS which is:
B = Brackets
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
We solve each element that is available in the order of the abbreviated letter.
1. We solve the brackets:

2. We solve the second bracket:

The equation now is 
3. We now solve addition first:

4. Now we solve the subtraction:

The answer then = 0
Answer:
- hexahedron: triangle or quadrilateral or pentagon
- icosahedron: quadrilateral or pentagon
Step-by-step explanation:
<u>Hexahedron</u>
A hexahedron has 6 faces. A <em>regular</em> hexahedron is a cube. 3 square faces meet at each vertex.
If the hexahedron is not regular, depending on how those faces are arranged, a slice near a vertex may intersect 3, 4, or 5 faces. The first attachment shows 3- and 4-edges meeting at a vertex. If those two vertices were merged, then there would be 5 edges meeting at the vertex of the resulting pentagonal pyramid.
A slice near a vertex may create a triangle, quadrilateral, or pentagon.
<u>Icosahedron</u>
An icosahedron has 20 faces. The faces of a <em>regular</em> icosahedron are all equilateral triangles. 5 triangles meet at each vertex.
If the icosahedron is not regular, depending on how the faces are arranged, a slice near the vertex may intersect from 3 to 19 faces.
A slice near a vertex may create a polygon of 3 to 19 sides..
Answer:
2m/s² ; - 2m/s²
25m ; 50m ; 25m
6.67 m/s²
Step-by-step explanation:
The acceleration and deceleration :
Both rates are the Same from the graph ;
According to scenario described, acceleration = 2m/s²
Deceleration occurred in equal time interval = - 2m/s
Distance covered during each stage:
Stage 1 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Stage 2: area of rectangle :
Length * breadth = 5 * 10 = 50 m
Stage 3 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Average Velocity :
Total distance / time = (25 + 50 + 25) / 15 = 100/ 15 = 6. 67 m/s
That is true. It is the Pythagorean Theorem.