Answer:
Step-by-step explanation:
Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is
- ∞ < x < ∞
Answer:
The value of g(f(1)) is 84/5
Step-by-step explanation:
To find the answer to a composite function, start with the function on the inside, which is f(1). So, we input 1 into the f(x) equation and evaluate.
f(x) = 6x + 2
f(1) = 6(1) + 2
f(1) = 6 + 2
f(1) = 8
Now that we have the answer of 8, we can input that in for x in the outside function, which is g(x).
g(x) = 2x + 4/5
g(8) = 2(8) + 4/5
g(8) = 16 + 4/5
g(8) = 84/5
Answer: f(x) = x/2 + 4.
where f(x) is the number of stamps that Tom has, and x is the number of stamps that Myrna has.
Step-by-step explanation:
The statement is:
"Tom has four more than half the stamps that Myrna has"
For how is written, we can model the number of stamps that Tom has as a function f(x).
f(x) represents the number of stamps that Tom has, and x is the number of stamps that Myrna has.
Then:
"four more than a number" is written as:
N + 4 (where N is the number)
"Half the stamps that Myrna has" is written as:
x/2.
Then the whole statement can be modeled as:
f(x) = x/2 + 4.
notice that we have x/2, and f(x) must be a whole number, so Myrna must have an even number of stamps (in that case x/2 will be integer)
