Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
In a positive correlation, both variables increase together. An example of this is a company's profit's relationship with its sales. The greater the sales, the greater the profit.
A negative correlation is where one variable decreases with increase in the other. An example is the time taken to reach somewhere and the speed traveled at. The faster you move, the less the time.
No correlation means the two variables are not related. An example of this is as you get older, it does not mean you will get better grades.
Answer:
Step-by-step explanation:
6x-3+75=180
6x=180-72
6x=108
x=108/6=18°
Answer: -8.66666666667
Step-by-step explanation: Do it step by step. So 19+7= 26
Then 2-5= 3
So 26 divided by -3 = -8.66666666667
