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0 votes
8.1k views
in Mathematics by (71.7k points)

If f (x) = 1 + α x, α ≠ 0 is the inverse of itself, then the value of α is : 

(a) 2 

(b) −1 

(c) −2 

(d) 0

1 Answer

+1 vote
by (70.0k points)
selected by
 
Best answer

Correct option (b) −1

Explanation:

This is a quadratic equation in α 

∴ For roots to be real Discriminant > 0

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