Inverse of the function y = 2x - 3 is - Vidyadip

MCQ

Inverse of the function $y = 2x - 3$ is

✓
$\frac{{x + 3}}{2}$
B
$\frac{{x - 3}}{2}$
C
$\frac{1}{{2x - 3}}$
D
None of these

✓

Answer

Correct option: A.

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

a
(a) $y = 2x - 3$

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

==> ${f^{ - 1}}(y) = \frac{{y + 3}}{2}$

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

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 1. relation and function→STD 12 - 1. relation and function — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The value of $\sum\limits_{n = 1}^\infty {\left( {{{\tan }^{ - 1}}\left( {\frac{n}{{n + 2}}} \right)\, - \,{{\tan }^{ - 1}}\left( {\frac{{n - 1}}{{n + 1}}} \right)} \right)} $ is equal to-

Let $f(x)=\frac{\sin (x-a)+\sin (x+a)}{\cos (x-a)-\cos (x+a)}$, then

The general solution of differention eqution $\frac{\text{y}\ \text{dx}-\text{x}\ \text{dy}}{\text{y}}=0$ is :

The solution of the differential equation $\frac{{dy}}{{dx}} = \frac{{(1 + x)y}}{{(y - 1)x}}$ is

A matrix consisting of a single column of $m$ elements is know as:

Consider the system of equations : $a_1 x+b_1 y+c_1 z=0 , a_2 x+b_2 y+c_2 z=0, a_3 x+b_3 y+c_3 z=0,$ if $\begin{vmatrix}\text{a}_1&\text{b}_1&\text{c}_1\\\text{a}_2&\text{b}_2&\text{c}_2\\\text{a}_3&\text{b}_3&\text{c}_3\end{vmatrix}=0,$ then the system has

If $x^y=e^{x-y}$ then $\frac{\text{dy}}{\text{dx}}$ is :

The function $f(x) = {[x]^2} - [{x^2}]$, (where $[y]$ is the greatest integer less than or equal to $y$),is discontinuous at

Evaluate the determinants

$\left|\begin{array}{rrr}3 & -1 & -2 \\ 0 & 0 & -1 \\ 3 & -5 & 0\end{array}\right|$

If $x < 0, y < 0$ such that $xy = 1,$ then $\tan^{-1}\text{x}+\tan^{-1}\text{y}$ equals: