cotillabianca cotillabianca
  • 30-06-2021
  • Mathematics
contestada

which represents the inverse of the function f(x) = 4x?

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Аноним Аноним
  • 30-06-2021

Answer:

[tex]{ \tt{let \: inverse \: be \: m }} \\ m = \frac{1}{4x} \\ x = \frac{1}{4m} \\ { \bf{f {}^{ - 1} (x) = \frac{1}{4x} }}[/tex]

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tjscheddarrockets
tjscheddarrockets tjscheddarrockets
  • 30-06-2021
Answer: f(x)=1/4x

Step-by-step:
f(x)=4x
y=4x (replace f(x) with y)
x=4y (switch x and y)
1/4x=y (solve for y by dividing by 4)
y=1/4x
f^-1(x)=1/4x (put the solution back into the function)

hope this helps! :)

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