Represents the sets with a Venn diagram: U = {1,2,3,4,5,6,7,8,9,10, 11, 12} A = {1,2,3,4,6, 12} B = {1,2,4,8}
1 answer:
Answer:
The required figure is shown below
Step-by-step explanation:
Consider the provided sets:
U = {1,2,3,4,5,6,7,8,9,10,11,12}
A = {1,2,3,4,6, 12}
B = {1,2,4,8}
We need to draw the Venn diagram.
Draw a rectangle which represents set U.
Now, Make circles for set A and set B. Every circle should overlap.
Write the element of each set as shown in figure.
Place elements inside each circle which represents the elements of corresponding sets.
Place common element of set in the section in which all circles shapes overlap.
The required figure is shown below
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Answer:
x = - , x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 2 = 0 ⇒ x = 2