Question

.Let f: R→ R be given by f(x)= x3 +3 , then f -1 (x) = is equal to

Answer 1

Step-by-step explanation:

Given, f(x)=x

3

−1

Let x

1

,x

2

ϵR

Now, f(x

1

)−f(x

2

)

⇒x

1

3

−1=x

2

3

−1

⇒x

1

3

=x

2

3

⇒x

1

=x

2

∴f(x) is one-one. Also, it is onto as range of f=R.

Hence, it is a bijection.

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