Let f={(-1, 4),(1, 9),(4, 0)} and g={(-1, -8),(2, -7),(4, 8),(5, -9)}. Find g/f and state its domain.
tekilochka [14]
Answer:
g/f = {(-1, 2)}
domain of g/f = {-1}
Step-by-step explanation:
Given,
f = {(-1, 4),(1, 9),(4, 0)},
g = {(-1, -8),(2, -7),(4, 8),(5, -9)}
So, Domain of f = {-1, 1, 4},
Domain of g = {-1, 2, 4, 5}
Since,
Thus, domain of g/f = Domain of f ∩ Domain of g = {-1, 4}
If x = -1,
If x = 4,
Hence, the domain of g/f = {-1}
And, g/f = {(-1, 2)}
Answer:
Associative property is illustrated.
Step-by-step explanation:
we have been given:
(2+3.4)+6=2+(3.4+6)
This is the associative identity which is:
a+(b+c)=(a+b)+c
Here, we have a=2, b=3.4, c=6
On comparing the values with associative property we get:
(2+3.4)+6=2+(3.4+6)
We club two numbers b and c first and then a and b in same bracket.
Answer:
The equations shows a difference of squares are:
<u>10y²- 4x²</u> $ <u>6y²- x²</u>
Step-by-step explanation:
the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²
We will check the options to find which shows a difference of squares.
1) 10y²- 4x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√10 y + 2x )( √10 y - 2x)
2) 6y²- x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√6y + x )( √6y - x)
3) 8x²−40x+25
The expression is not similar to the general form, so the equation does not represent a difference of squares.
4) 64x²-48x+9
The expression is not similar to the general form, so the equation does not represent a difference of squares.
Answer:
Range
Step-by-step explanation:
The range of a given set of data is the difference between the largest value and the smallest value in the data. For convenience and ease in the calculation, it is advisable to place the data in ascending order.
For example, given the following set of data:
4,9,5,6,2
To find the range;
<em>=> First arrange the data in ascending order</em>
2,4,5,6,9
<em>=> Find the smallest and largest numbers and then find their difference.</em>
Since the data has been arranged, it is obvious to see that the smallest number is <em>2</em> and the largest number is <em>9.</em>
Therefore the;
range = 9 -2 = 7
