tanya1232 tanya1232
  • 10-12-2021
  • Mathematics
contestada

Find the inverse of the function.
f(x) = x^3 - 3

Respuesta :

Ujjwal11
Ujjwal11 Ujjwal11
  • 10-12-2021

let,

y = f(x)

y = x^3 - 3

Interchanging x and y ,

x = y^3 - 3

x + 3 = y^3

(x + 3)^1/3 = y

◆ f^-1 (x) = (x + 3)^1/3

It is Right Answer...

Thank you♥♥

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lisa8851 lisa8851
  • 10-12-2021
  1. Answer:
  2. [tex]f{(x)} = {x}^{3} - 3 \\ y = {x}^{3} - 3 \\ x = {y}^{3} - 3 \\ x + 3 = {y}^{3} \\ \sqrt[3]{x + 3} = y \\ {f(x)}^{ - 1} = \sqrt[3]{x + 3} [/tex]

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