Problem 1
<h3>Answer: False</h3>
---------------------------------
Explanation:
The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.
So,
f(x) = x+1
f( g(x) ) = g(x) + 1 .... replace every x with g(x)
f( g(x) ) = 6x+1 ... plug in g(x) = 6x
(f o g)(x) = 6x+1
Now let's flip things around
g(x) = 6x
g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)
g( f(x) ) = 6(x+1) .... plug in f(x) = x+1
g( f(x) ) = 6x+6
(g o f)(x) = 6x+6
This shows that (f o g)(x) = (g o f)(x) is a false equation for the given f(x) and g(x) functions.
===============================================
Problem 2
<h3>Answer: True</h3>
---------------------------------
Explanation:
Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.
For example, let
f(x) = 1/(x+2)
g(x) = -2
The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.
So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).
Answer: B. Y=2/3x
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Answer:
This is the concept of geometric series. We are required to find the recursive formula for year n. Here we will use the formula;
nth=ar^(n-1)
where;
a=first term
r=common ratio
n=nth term
Thus
a=8.50
r=(8.85)/(8.50)=1.0412
thus the formula will be:
nth=8.50(1.0412)^n
Answer:
The Brain
Step-by-step explanation:
It goes down 3 and moves to the right 2
so its -3/2 =- 1.5
you slope is -1.5❤✔ hope I helped!
