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

Find the inverse of the following functions (a)

jasminelynn135owmyj1

29.08.2021

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 :

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

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texassaint797

31.12.2020

Correct

Step-by-step explanation:

Because you subtract A and B and B and C so there is not leftover and B is the most common set letter. So you put A minus B.

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