If f:R→R is given by f(x)=(5+x^4)^1/4, then fοf(x) is _______(a) x(b) 10+x^4(c) 5+x^4(d) (10+x^4)^1/4This question was posed to me during an online exam.I'm obligated to ask this question of Composition of Functions and Invertible Function topic in section Relations and Functions of Mathematics – Class 12

If f:R→R is given by f(x)=(5+x^4)^1/4, then fοf(x) is _______(a) x(

1.	If f:R→R is given by f(x)=(5+x^4)^1/4, then fοf(x) is _______(a) x(b) 10+x^4(c) 5+x^4(d) (10+x^4)^1/4This question was posed to me during an online exam.I'm obligated to ask this question of Composition of Functions and Invertible Function topic in section Relations and Functions of Mathematics – Class 12
Answer» Correct option is (d) (10+x^4)^1/4 The EXPLANATION: Given that F(x)=(5+x^4)^1/4 ∴ fοf(x)=f(f(x))=(5+{(5+x^4)^1/4}^4)^1/4 =(5+(5+x^4))^1/4=(10+x^4)^1/4.

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