Let f : N → Y be a function defined as f ( x ) = 4 x + 3 , where Y = { y ∈ N : y = 4 x + 3 for some x ∈ N } . Show that f is invertible and its inverse is

Function is increasing x = 4 y − 3 = g ( y )

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MathematicsFunctionsInverseMedium2 minPYQ_2008

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Let $f : N \to Y$ be a function defined as $f (x) = 4 x + 3$ , where $Y = {y \in N : y = 4 x + 3$ for some $x \in N}$ . Show that $f$ is invertible and its inverse is

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Answer:

Solution:

Function is increasing $x = \frac{y - 3}{4} = g (y)$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Inverse

⏱ 2mℹ️ Source: PYQ_2008

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