Exercises for Question Type 7: Finding for what value of a given parameter is a function self-inverse

Question 1

Skill question

Find all $b$ such that $f (x) = \frac{x + b + 1}{x + b - 1}$ is its own inverse.

Question 2

Skill question

For what value of $b$ is $f (x) = \frac{x + b}{2 x + 3 - b}$ self-inverse?

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Question 3

Skill question

For which value of $b$ is the function $f (x) = \frac{x + b}{x + 1 - b}$ self-inverse?

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Question 4

Skill question

Determine $b$ such that $f (x) = \frac{b x + 1}{x + b}$ is self-inverse.

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Question 5

Skill question

Find $b$ so that $f (x) = \frac{x - b}{1 - b x}$ is self-inverse.

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Question 6

Skill question

Determine $b$ such that $f (x) = \frac{b x + 3}{b - x}$ is its own inverse.

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Question 7

Skill question

Find $b$ for which $f (x) = \frac{b x + 2}{3 x + b}$ satisfies $f (f (x)) = x$ .

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Question 8

Skill question

Find $b$ for which $f (x) = \frac{x + 2 b}{b x + 1}$ is self-inverse.

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Question 9

Skill question

Find the value of $b$ so that $f (x) = \frac{x + b}{x - b}$ is its own inverse.

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Question 10

Skill question

Determine $b$ such that $f (x) = \frac{2 x + b}{b x + 2}$ is its own inverse.

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Question 11

Skill question

For which $b$ is $f (x) = \frac{x - b}{b x + 1}$ its own inverse?

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IB Mathematics Analysis and Approaches Question Type 7: Finding for What Value of a Given Parameter Is a Function Self-inverse Exercises