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.
Answer:
Step-by-step explanation:
<u>Recursive sequence
</u>
In a recursive sequence formula, each term 
is computed as a function of one or more previous terms. In the formula
n is the number of the term we want to calculate. If n=8, then the formula becomes
We can see 
is the previous term. It means we need 
to be able to compute 
. But we also need 
to compute and so on until some known data is reached. The question provides five terms, 
6√3
Step-by-step explanation:
6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3
Answer:
Choice b.
Step-by-step explanation:
170 is a little more than half of 330 so that's the onee.
