Answer:
The value of (fg)(-2) is 14
Step-by-step explanation:
We are given
and
and we need to find (fg)(-2)
First we will replace the 'x' in f(x) with g(x) to find (fg)(x) i.e
![f(x) = 8 -1x\\(fg)(x) = 8 - 1(5x+4)\\(fg)(x) = 8 - 5x - 4\\(fg)(x) = - 5x+4](https://tex.z-dn.net/?f=f%28x%29%20%3D%208%20-1x%5C%5C%28fg%29%28x%29%20%3D%208%20-%201%285x%2B4%29%5C%5C%28fg%29%28x%29%20%3D%208%20-%205x%20-%204%5C%5C%28fg%29%28x%29%20%3D%20-%205x%2B4)
Now we will put the value of x = -2 to find (fg)(-2) i.e
![(fg)(x) = - 5x+4\\(fg)(-2) = - 5(-2)+4\\(fg)(-2) = 10+4\\(fg)(-2) = 14](https://tex.z-dn.net/?f=%28fg%29%28x%29%20%3D%20-%205x%2B4%5C%5C%28fg%29%28-2%29%20%3D%20-%205%28-2%29%2B4%5C%5C%28fg%29%28-2%29%20%3D%2010%2B4%5C%5C%28fg%29%28-2%29%20%3D%2014)
So, the value of (fg)(-2) is 14
2x ≥ 6
Isolate the x. Divide 2 from both sides
2x/2 ≥ 6/2
x ≥ 6/2
x ≥ 3
x ≥ 3 is your answer
~<em>La Pucelle</em>
Answer: -29
Subtract 18 FROM -11.
That means that 18 would go after -11.
-11 - 18 = -29
Answer:
-37.5
Step-by-step explanation:
The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
<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:
![\rm y = \dfrac{cos(x)}{x}](https://tex.z-dn.net/?f=%5Crm%20y%20%3D%20%5Cdfrac%7Bcos%28x%29%7D%7Bx%7D)
From the definition of the even and odd function:
If f(-x) = f(x) then it is an even function
If f(-x) = -f(x) then it is an odd function
![\rm y(-1) = \dfrac{cos(-x)}{-x}](https://tex.z-dn.net/?f=%5Crm%20y%28-1%29%20%3D%20%5Cdfrac%7Bcos%28-x%29%7D%7B-x%7D)
![\rm y(-1) = -\dfrac{cos(x)}{x}](https://tex.z-dn.net/?f=%5Crm%20y%28-1%29%20%3D%20-%5Cdfrac%7Bcos%28x%29%7D%7Bx%7D)
cos(-x) = cosx
Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
Learn more about the function here:
brainly.com/question/5245372
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