This looks one hundred percent correct to me and to check your answer you can plug in the answer you find to the first equation
17=37+4f
17=37+4(-5)
17=37-20
17=17
great job!!
<u>Answer:</u>
So all the possible solutions are:
<u />
<u>Solution Steps:</u>
<em>First you need to solve the real inequality to understand how to find the rest of the possible equations. </em>
<u>Add 78 to both sides:</u>
- <u />
Cancels Out
<em>So now we know the real answer, but it ask for all possible answers. </em>
(Means anything larger than 300 when you plug it into x - 78 > 300.)
<u>Numbers that are greater than 378:</u>
1.)
(False)
2.)
(True)
3.)
(False)
4.)
(False)
5.)
(True)
6.)
(True)
7.)
(False)
8.)
(True)
______________________________

Answer:

Step-by-step explanation:
we have


we know that

substitute the variable x in the function g(x) by the function f(x)
so

Evaluate 
For x=0


Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!