If $f(x)=\frac{x-1}{x+1}$, then $f(f(a x))$ is equal to

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f(x)=\frac{x-1}{x+1}

, then

f(f(a x))

is equal to

View answer and explanation

Correct option: C

\frac{f(x)-1}{a(f(x)+1)}

The correct answer is C (

\frac{{f(x)-1}}{{a(f(x)+1)}}

) because it is the result of correctly substituting

f(x)

into the composite function

f(f(ax))

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