Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let \(f,g:\mathbb{R}\rightarrow\mathbb{R}\) defined by \(f(x)=16x^4\), \(g(x)=x^{\frac{1}{4}}\) then \(g\circ f(x)=\)

Options:

\(x\)

\(2x\)

\(3x\)

\(x^2\)

Correct Answer:

\(2x\)

Explanation:

\(g\circ f(x)=g(f(x))=(16x^4)^{1/4}=((2x)^4)^1/4 = 2x\)