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

MCQ

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

✓
$\frac{x+3}{2}$
B
$\frac{x-3}{2}$
C
$\frac{1}{2 x-3}$
D
$\frac{1}{x+3}$

✓

Answer

Correct option: A.

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

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

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