Answer:
The inverse f-1(x) = (2 - x)/4 + 1.
Step-by-step explanation:
Let y = -4 /(x - 1) + 2
-4/(x - 1) = y - 2
x - 1 = (y - 2) / -4
x = -(y - 2)/4 + 1
x = (2 - y)/ 4 + 1
Now replace x by f-1(x) ( the inverse) and y by x:
f-1(x) = (2 - x)/4 + 1.
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is
Let Y=set of all even numbers
that is
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Its tricky naa ans is -3, -3+9=6