JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

If the function

f\left( x \right)

is defined by

f\left( x \right) = a + bx\;and\,{f^r} = fff

.... (repeated r times), then

{f^r}\left( x \right)

is equal to

View answer and explanation

Correct option: D

a\left( {\frac{{{b^r} - 1}}{{b - 1}}} \right) + {b^r}x

Option D (

a\left( {\frac{{{b^r} - 1}}{{b - 1}}} \right) + {b^r}x

) is correct because it represents the general form of the function after being composed with itself 'r' times, which involves a geometric series.

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