Q10 c and d

Dear student

d) W e h a v e, f (x) = \frac{x - 2}{3 - x} D o m a i n o f f : C l e a r l y, f (x) i s d e f i n e d f o r a l l x s a t i s f y i n g 3 - x \neq 0 i . e x \neq 3 . H e n c e, D o m a i n (f) = R - \{3\} R a n g e o f f : L e t y = f (x) i e y = \frac{x - 2}{3 - x} 3 y - x y = x - 2 x (y + 1) = 3 y + 2 x = \frac{3 y + 2}{y + 1} C l e a r l y, x a s s u m e s r e a l v a l u e s f o r a l l y e x c e p t y + 1 = 0 i e y = - 1 . H e n c e, R a n g e (f) = R - \{- 1\}

For remaining queries we request you to post them in separate threads to have rapid assistance from our experts.
Regards