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What is inverse of f(x) = x^{\frac{1}{3}} + 1 ?

  • Option 1)

    x^3 -1

  • Option 2)

    x^{\frac{1}{3}} - 1

  • Option 3)

    (x -1)^{3}

  • Option 4)

    (x - 1)^{\frac{1}{3}}

 

Answers (1)

best_answer

As we have learnt,

 

Property of Inverse Function -

The inverse of a bijection is unique.

-

 

 If g(x) = (x -1 )^{3}

gof(x) = g(x^{\frac{1}{3}}+ 1) = (x^{\frac{1}{3}}+ 1 -1)^{3} = x

 


Option 1)

x^3 -1

Option 2)

x^{\frac{1}{3}} - 1

Option 3)

(x -1)^{3}

Option 4)

(x - 1)^{\frac{1}{3}}

Posted by

Himanshu

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