ria2389
ria2389 ria2389
  • 01-04-2019
  • Mathematics
contestada

Plz help me i need it

Plz help me i need it class=

Respuesta :

tramserran
tramserran tramserran
  • 02-04-2019

Answer:   [tex]\bold{c)\quad f^{-1}(x)=\dfrac{ln(x)}{2}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=e^{2x}\\\\\text{Swap the x's and y's:}\\x=e^{2y}\\\\\text{Apply ln to both sides:}\\ln\ x=ln\ e^{2y}\\\\\text{ln e cancels out}\\ln\ x=2y\\\\\text{Divide both sides by 2:}\\\dfrac{ln\ x}{2}=y[/tex]

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