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Algebra
Question

For \( f ( x ) = \frac { a x + b } { c x + d }\) f...

For 

\( f ( x ) = \frac { a x + b } { c x + d }\) 

find \( f ^ { - 1 } ( x ) \) . If \( c \neq 0 \) , under what conditions on \( a , b , c , \) and \( d \) is \( f = f ^ { - 1 } \) ? 

Answer

f\(^{- 1}\)(x) = \(\frac{b - dx}{cx - a}\)

 

when a = -d, f and its inverse are same.

Solution
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