ttori99
ttori99 ttori99
  • 24-03-2019
  • Mathematics
contestada

Can someone help me answer this calculus I problem?

Can someone help me answer this calculus I problem class=

Respuesta :

znk
znk znk
  • 24-03-2019

Answer:

[tex]f^{-1}(x) = \sqrt [7]{y - 3}[/tex]

Step-by-step explanation:

ƒ.(x) = x⁷ + 3  

Rename f.(x) as y  

y = x⁷ + 3  

Solve for x :  

x⁷ = y - 3  

Take the seventh root of each side  

[tex]x = \sqrt [7]{y - 3}[/tex]

Switch x and y  

[tex]y = \sqrt [7]{x - 3}[/tex]

Rename y as the inverse function  

[tex]f^{-1}(x) = \sqrt [7]{y - 3}[/tex]

Answer Link

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