k6m6wqdfqq k6m6wqdfqq
  • 20-05-2022
  • Mathematics
contestada

For the function f(x) = 8x7, find f-¹(x).

For the function fx 8x7 find fx class=

Respuesta :

luz40gv luz40gv
  • 20-05-2022

Answer:

f^-1(x)= [tex]\sqrt[7]{x} /8[/tex]

Step-by-step explanation:

f(x)=8x^7

x^7=f(x)/8

x=[tex]\sqrt[7]{x} /8[/tex]

f^-1(x)= [tex]\sqrt[7]{x} /8[/tex]

Answer Link
andytran027
andytran027 andytran027
  • 20-05-2022

Answer:

Your answer is C. [tex]y= \sqrt[7]{\frac{x}{8} }[/tex]

Step-by-step explanation:

[tex]f(x)=8x^7\\y = 8x^7[/tex]

switch y and x to for inverse.

[tex]x = 8y^2[/tex]

Now solve y by itself.

[tex]x=8y^7\\\frac{x}{8}=y^7\\ \sqrt[7]{\frac{x}{8} } =y[/tex]

Answer Link

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