Answer:
Step-by-step explanation:
Given:
The original function is given as:
The above function is stretched vertically by a factor of 2 to form the graph of 
.
According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:
Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.
Here, the the value of 'C' is 2. So, the equation of is given as:
![g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8](https://tex.z-dn.net/?f=g%28x%29%3D2f%28x%29%5C%5Cg%28x%29%3D2%5B2%283%29%5E%7Bx%2B1%7D%2B4%5D%5C%5Cg%28x%29%3D4%283%29%5E%7Bx%2B1%7D%2B8)
Therefore, the equation of is .
No.
a. take 35% off 30 =19.5
b. first take 25% off 30 = 22.5, then take 10% off 22.5 = 20.25
Answer:
6 and 7
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 2(3) = 6
To evaluate g(f(3)), substitute f(3) = 6 into g(x)
g(6) = 6 + 1 = 7
Answer:
50+(7d*13)+80+(9d*27)
Step-by-step explanation:
So, there are 13 food booths and each food booth is $50 plus $7 per day.
There are 27 game booths and each game booth is $80 plus $9 per day.
Lets make a short equation for each of the booths.
50+(7d*13)
80+(9d*27)
Lets combine both of the sentences.
50+(7d*13)+80+(9d*27)
So, my expression would be 50+(7d*13)+80+(9d*27).
