Question

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

Answer 1

1. Answer:
2. $f{(x)} = {x}^{3} - 3 \\ y = {x}^{3} - 3 \\ x = {y}^{3} - 3 \\ x + 3 = {y}^{3} \\ \sqrt[3]{x + 3} = y \\ {f(x)}^{ - 1} = \sqrt[3]{x + 3}$

Answer 2

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...

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