1.5.4 Inverse Function Example 4 December 29, 2020February 22, 2013 by Example 4:(a) If f : x → x – 2, find f -1 (5), (b) if f:x→ x+9 x−5 , x≠5, find f −1 (3). Solution: (a) f (x) = x– 2 Let y = f -1 (5) f (y) = 5 y – 2 = 5 y = 7 therefore, f -1 (5) = 7 (b) f(x)= x+9 x−5 Let y= f −1 (3) f(y)=3 y+9 y−5 =3 y+9=3y−15 2y=24 y=12 ∴ f −1 ( 3 )=12
the final answer of b is 12 right?
Dear Aini,
Thanks for pointing out our mistake.
Correction was done accordingly.