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) $y = 2x - 3$

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

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

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

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