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20.08.2021 •
Mathematics
Y = - 18 when x = 3 , find x when y = 30
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Ответ:
x=-5
Step-by-step explanation:
First create a ratio -18/3 = 30/x
Cross multiply -18x=90
90/-18=-5
x=-5
Ответ:
Function has an inverse that is also a function : c.{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
Further explanationSet A to set B is said to be a function if each member of set A pairs exactly one member of set B
So, one value of x is only assigned to one value of y
A function can be expressed in the form of a cartesian diagram, sequential pairs, or arrow diagrams
If a function (f) pairs members of set A to set B, then the inverse of function f (f⁻¹) pairs members of set B to A, or easily f⁻¹ is the opposite of f
or in the form of equations
f (x) = y if and only if g (y) = x
g (y) is called the inverse of f (x)
We see the options available
a. {(- 1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}From this function we can set A and B
A = {- 1,0,1,5,7}
B = {-2,4,3,14}
The inverse function becomes
{(-2, -1), (4.0), (3,1), (14,5) and (4,7)}
There is one member B that is paired with 2 members A, namely (4.0) and (4.7) so that it is not a function
b. {(- 1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}set A and B
A = {- 1,0,1,5,7}
B = {2,4,5,2}
The inverse function becomes
{(2, -1), (4.0), (5.1), (4.5), (2.7)}
There is one member B that is paired with 2 members A, namely (4.0) and (4.5) so that it is not a function
c. {(- 1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}set A and B
A = {- 1,0,1,5,7}
B = {3,4,14,6,2}
The inverse function becomes
{(3, -1), (4.0), (14,1), (6.5), (2.7)
Each member B is paired exactly one with member A, so that it is a function
d. {(- 1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}set A and B
A = {- 1,0,1,5,7}
B = {4,2,3,1}
The inverse function becomes
{(4, -1), (4.0), (2.1), (3.5), 1.7)}
There is one member B that is paired with 2 members A, namely (4, -1) and (4.0) so that it is not a function
So the right answer is C
Learn morethe function has an inverse function
the inverse of the function
the inverse of a function always a function
Keywords: function, inverse function, arrow diagrams