Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let R be the set of real numbers. $f:R→R$ is given by $f(x)=(3-x^3)^{1/3}$, then $f^2$=composition of f with itself=

Options:

1/x^3

x^3

x

(3-x^3)

Correct Answer:

x

Explanation:

$f(f(x))=f((3-x^3)^{1/3})=((3-(3-x^3)^{1/3})^3)^{1/3}=(x^3)^{1/3}=x$