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JEE MATHEMATICS MCQ: FUNCTIONS

1 Hard

1 of 1

Application +4 | -1

If

f_1(x)=\frac{x}{4}+6

for all

x \in \mathbb{R}

and

f_n(x)=f_1\left(f_{n-1}(x)\right)

for

n \geq 2

, then

f_n(x)=?

View answer and explanation

Correct option: A

\frac{x-8}{4^n}+8

Option A (

\frac{{x-8}}{{4^n}}+8

) is correct because it represents the nth iteration of the function f1(x).

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