Answer:
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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
In every triangle the sum of the three angles = 180°
If you have a right angled triangle it means one angle is 90°
So 90°+52.4°+ x = 180°
x=180-52.4-90
x=37.6°