Answer and Step-by-step explanation:






Hi,

Domain of (fog)(x) is R \ {13} =(-oo 13[ U ]13 +oo)
Part A:
firs multiply 9 to 3x and minus 16, after that subtract 15 from -144, then add both side to 129, then subtract 6x from both side, at the end divide bothe side to 21, the answer is 5.
9(3x-16)+15=6x-24
27x-144+15 = 6x-24
27x-129 = 6x-24
27x = 6x -24 +129
27x = 6x +105
27x - 6x = 105
21x = 105
21x/21 = 105/21
x = 5
The radius is 4.3+6.8 which is 11.1
x is the diameter of the circle so we double the radius which means x is 22.2
a) 2 + 3 - 6 = 10 + 4 ⇒ -1 = 14
This is a false statement so it has NO SOLUTIONS, which means it is a CONTRADICTION
b) 17 + 5 = 23 + 4 - 6 ⇒ 25 = 21
This is a false statement so it has NO SOLUTIONS, which means it is a CONTRADICTION
c) 7 + 4 = 5 + 8 + 2 - 10 ⇒ 11 = 5
This is a false statement so it so it has NO SOLUTIONS, which means it is a CONTRADICTION
NOTE: When they make a true statement, then it has infinite solutions and is an Identity