Answer:
1. (x,y)→(y,-x)
2. (x,y)→(-y,x)
3. (x,y)→(-x,-y)
Step-by-step explanation:
1. Rotation 90° clockwise (or 270° counterclockwise) about the origin changes x into y and y into -x, so it has the rule
(x,y)→(y,-x)
2. Rotation 90° counterclockwise (or 270° clockwise) about the origin changes x into -y and y into x, so it has the rule
(x,y)→(-y,x)
3. Rotation 180° clockwise about the origin changes x into y and y into -x, so it has the rule
(x,y)→(-x,-y)
Here you can apply rotation by 90° clockwise twice, so
(x,y)→(-y,x)→(-x,-y)
Option (A) represents the function and its inverse of a function option (A) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function and inverse of a function shown in the picture.
Checking for option (A):
Taking f(x):
To find the inverse of a function interchange the x and y variables:
f(x) → x
x → g(x)
Solving:
4x = g(x) + 10
g(x) = 4x - 10
Similarly, we can find the inverse of a function.
Thus, option (A) represents the function and its inverse of a function option (A) is correct.
Learn more about the function here:
brainly.com/question/5245372
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Answer:
9) 21
10) 70
11) 64
12) 31
13) 83
14) 31
Step-by-step explanation:
too easy!!
I believe the answer is the last option
hope that helps, God bless!
Answer:
Step-by-step explanation:
f(x)/g(x)=(6x+2)/(x-7)
The only restriction upon the domain, possible values of x, is division by zero is undefined. So x cannot equal 7.
So the domain is all real numbers except 7. In interval notation the domain is
x=(-oo, 7),(7, +oo)
