Answer:

Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get

Now, we have two different terms getting multiplied. We can separate the two to get 
Because we are multiplying 4 by the other term, this is represented by 
Now, we can just set f(x) and g(x) to these functions:

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).
The answer is 7x + 3
First, you have 3x-1 + 2x+1
Combine like terms and the 1’s cancel each other out. You are left with 5x.
Then, you add x+2 + x+1
Combine like terms and you have 2x+3
Add 5x + 2x+3 and you have 7x +3
I’m bad at explaining, so here are the steps.
Answer:

Step-by-step explanation:
So we have the inequality:

Add 1 to both sides. The left side cancels:

Subtract 4x from both sides. The right side cancels:

Divide both sides by -1. Since we're dividing by a negative, we flip the sign:

And we're done!
Our solution is all numbers less than -8.
Answer:
.
Step-by-step explanation:
The function whose inverse is also a function would pass the horizontal line test. This means that if you place a horizontal line at any y-level in the graph, the line should only pass through the function one or less times.