Answer:
Step-by-step explanation:
We have to find the domain and range of each function.
a.![f(x)=2x+3](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B3)
It is a linear function because the degree of function is 1.Linear function is defined for all real values of x.
Therefore, the domain of given function=R
When we substitute real values in the given function then we get again real values.
Therefore, range of f=R
b.![f(x)=2x](https://tex.z-dn.net/?f=f%28x%29%3D2x)
It is a linear function .
Domain=R
Range=R
c.![C(x)=9x+130](https://tex.z-dn.net/?f=C%28x%29%3D9x%2B130)
C(x)=Number of calories in a sandwich containing x grams of fat.
x=Mass of fat
Mass is always a natural number.
Domain of C=N
Substitute x=1
C(1)=9(1)+130=139
C(2)=9(2)+130=18+130=148
Range of C={139,148,157,...}
d.![B(x)=100(2)^x](https://tex.z-dn.net/?f=B%28x%29%3D100%282%29%5Ex)
B(x)=Number of bacteria
x=Time in hours
Number of bacteria is a natural number and time is always a whole number.
Domain=W
Substitute x=0
![B(0)=100(2)^0=100](https://tex.z-dn.net/?f=B%280%29%3D100%282%29%5E0%3D100)
![B(1)=100(2)^1=200](https://tex.z-dn.net/?f=B%281%29%3D100%282%29%5E1%3D200)
![B(2)=100(2)^2=400](https://tex.z-dn.net/?f=B%282%29%3D100%282%29%5E2%3D400)
Range of B={100,200,200,800,...}
Answer: 43.47
Step-by-step explanation:
This is equivalent to
f(g(x)) = x^2 + 1 That means wherever you see an x on the right, you put in g(x)
f(g(x)) = g(x)^2 + 1
f(g(x)) = (x - 4)^2 + 1 Now you can put in the 10
f(g(x)) = (10 - 4)^2 + 1
f(g(x)) = 36 + 1
f(g(x)) = 37
The point-slope intercept is y - 8 = -(x + 3). I think.
Answer:1) 1/2
2)1/3
Hope this helps you...
Step-by-step explanation: