Question

Find the inverse of the following functions (a) y = ln(3x + 7)​

Answer 1

Answer:

$y = ln(3x + 7)$

let inverse be m :

$m = ln(3x + 7 ) \\ {e}^{m} = 3x + 7 \\ {e}^{m} - 7 = 3x \\ \\ x = \frac{ {e}^{m} - 7 }{3}$

subsitute m with x :

${ \boxed{ \boxed{ {y}^{ - 1} = \frac{ {e}^{x} - 7 }{3} }}}$