MonotonicityHard
Question
The function y =
(x ≠ 2) -
Options
A.is its own inverse
B.decreases for all values of x
C.has a graph entirely above x-axis
D.is bound for all x
Solution
y = 
y = 2 +
< 0
∴ y decreases ∀ x ∈ R
Now, x =
xy - 2x = 2y - 1
y(x - 2) = 2x - 1
y =
= f-1(x) [Also, y ∈ R - {1}]
y = 2 +
∴ y decreases ∀ x ∈ R
Now, x =
xy - 2x = 2y - 1
y(x - 2) = 2x - 1
y =
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