Let f:R R be the function defined by f(x) = 2x - 3, x R . Write f - 1 .

It is given that,, f(x) = 2x - 3, x R Now, let y = 2x - 3 2x = y + 3 x = 2 (x) = 2

class 12 maths relations and functions

Let $f:R \to R$ be the function defined by $f(x) = 2x - 3,\forall x \in R$. Write ${f^{ - 1}}$.

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📘 Relations and Functions NCERT Exemp.Q.4,Page 11 SA

Let $f:R \to R$ be the function defined by $f(x) = 2x - 3,\forall x \in R$. Write ${f^{ - 1}}$.

VVidaara Team ✓ Verified solution NCERT & Exemplar

It is given that,, $f(x) = 2x - 3,\forall x \in R$

Now, let $y = 2x - 3$

$2x = y + 3$

$x = \frac{{y + 3}}{2}$

$\therefore$ ${f^{ - 1}}(x) = \frac{{x + 3}}{2}$

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