First slide

Introduction to real valued functions

Question

The value of $" a "$ for which the function $f (x) = 1 + α x, α \neq 0$ is the inverse of it self is

Moderate

A

$- 2$
B

$- 1$
C

1
D

2

Solution

$f (x) = f^{- 1} (x)$
$1 + a x = \frac{x - 1}{a}$

By verification $a = - 1$

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