Answer:
Step-by-step explanation:
a- 12
b- 2
c- 11
and the next part is
x- 6
y- 18
The equation to calculate percent error is # experimental - #theoretical / # theoretical * 100. The experimental value is 24 and the theoretical value is 42. Here's the calculation 24-42/42 * 100 = -42.86 rounded. Hope this helped :))
Answer:
<em>f(g(2))=7</em>
Step-by-step explanation:
<u>The Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:
![(f\circ g)(x)=f(g(x))](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3Df%28g%28x%29%29)
It can be found by substituting g into f.
The given functions are:
![f(x)=4x+3](https://tex.z-dn.net/?f=f%28x%29%3D4x%2B3)
![g(x)=x^2-3](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2-3)
It's required to find f( g( 2 ) )
Find g(2):
![g(2)=2^2-3](https://tex.z-dn.net/?f=g%282%29%3D2%5E2-3)
Operating:
![g(2)=4-3 =1](https://tex.z-dn.net/?f=g%282%29%3D4-3%20%3D1)
g(2)=1
Now find f(1):
![f(1)=4(1)+3](https://tex.z-dn.net/?f=f%281%29%3D4%281%29%2B3)
![f(1)=4+3 =7](https://tex.z-dn.net/?f=f%281%29%3D4%2B3%20%3D7)
Thus:
f( g( 2 ) )=7