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

Relations and Functions — Class 12 Maths Solution

exemplar sa SA NCERT Exemp.Q.4,Page 11

Question

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

Step-by-step Solution

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

Now, let $y = 2x - 3$

$2x = y + 3$

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

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

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.