A ) ( x - 3 )( x + 1 ) [ not perfect ]
B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]
C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]
D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]
Thus the correct answer is option D .
Hello,
Please, see the attached file.
Thanks.
Answer:
Option 3 - f(x)= 4x, 
Step-by-step explanation:
To find : Which two functions are inverses of each other?
Solution :
Two functions are inverse if 
Now, we find one by one
1) f(x)= x, g(x) = -x

Not true.
2) f(x)= 2x, 

Not true.
3) f(x)= 4x, 


i.e.
is true.
So, These two functions are inverse of each other.
4) f(x)= -8x, 

Not true.
Therefore, Option 3 is correct.
Answer: 7.5
Step-by-step explanation:
The given formula tells us that the next term f(n+1) of the sequence is -0.5 times the previous term f(n)
First term of the sequence is f(1) = 120
Second term of the sequence is f(2) = f(1+1) = -0.5 f(1) = -0.5 (120) = -60
Third term of the sequence is f(3) = f(2+1) = -0.5 f(2) = -0.5 (-60) = 30
Fourth term of the sequence is f(4) = f(3+1) = -0.5 f(3) = -0.5 (30) = -15
Fifth term of the sequence is f(5) = f(4+1) = -0.5 f(4) = -0.5 (-15) = <em>7.5</em>