1.5.4 Inverse Function Example 4

Example 4:
(a) If f : xx – 2, find f -1 (5),

(b) if f:x x+9 x5 , x5, 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 x5 Let y= f 1 (3) f(y)=3 y+9 y5 =3 y+9=3y15 2y=24 y=12 f 1 ( 3 )=12

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