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}]

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