justinarce2582 justinarce2582
  • 25-09-2017
  • Mathematics
contestada

Find a formula for the inverse of the function. f(x) = e3x − 7

Respuesta :

047
047 047
  • 25-09-2017
if g(x) is the inverse of f(x)

g(x)= {ln (x+7)}/3
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kritter1
kritter1 kritter1
  • 25-09-2017
Replace f(x) with y, reverse the variables (x becomes y and y becomes x). Solve for y.

Y = e^3x -7
x= e^3y-7
X+7 = e^3y
ln(x+7) = 3y (turning the equation into ln form)
(ln(x+7))/3 = y

F^-1(x) = (ln(x+7)/3

Hope I helped :)
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