enable f ( x ) = y and g ( y ) = x------------ie g is inverse of f :- ( 5x - 2 ) y = 2x + 3 5xy - 2y = 2x + 3 ( 5y - 2 ) x = 3 + 2 y x = ( 3 + 2 y ) / ( 5y - 2 ) g ( y ) = ( 3 + 2 y ) / ( 5 y - 2 ) g ( x ) = ( 3 + 2 x ) / ( 5 x - 2 ) is inverse functiion
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Verified answer
f(x) = log(x-2) + 4
domain
x-2 > 0
x > 2
enable f ( x ) = y and g ( y ) = x------------ie g is inverse of f :- ( 5x - 2 ) y = 2x + 3 5xy - 2y = 2x + 3 ( 5y - 2 ) x = 3 + 2 y x = ( 3 + 2 y ) / ( 5y - 2 ) g ( y ) = ( 3 + 2 y ) / ( 5 y - 2 ) g ( x ) = ( 3 + 2 x ) / ( 5 x - 2 ) is inverse functiion