Question

D

Answer 1

First find function

$\\ \bull\tt\dashrightarrow f(x)=2(x+3)-3$

$\\ \bull\tt\dashrightarrow f(x)=2x+6-3$

$\\ \bull\tt\dashrightarrow f(x)=2x+3$

Now

$\\ \bull\tt\dashrightarrow y=2x+3$

$\\ \bull\tt\dashrightarrow x=\dfrac{y-3}{2}$

But

$\\ \bull\tt\dashrightarrow y=f(x)$

$\\ \bull\tt\dashrightarrow x=f^{-1}(y)$

Hence

.

$\\ \bull\tt\dashrightarrow f^{-1}y=\dfrac{y-3}{2}$

Replace y by x

$\\ \bull\tt\dashrightarrow f^{-1}(x)=\dfrac{x-3}{2}$