If fx=x/(x-1), then the points of discontinuity of the function f^15x, where f^n=fof…….of (n times), are

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MARKS Content Team · Accepted Answer

Correct answer: (D) continuous everywhere except x=1. Clearly, x=1 is a point of discontinuity of the function fx=x/(x-1) . If x≠1 , then fofx=ffx=fx/(x-1)=x , which is continuous ∀x∈R . If x≠1 , then fofofx=fx=x/(x-1) Hence, f^15x=fofof………^15x=fx which is continuous everywhere except x=1 So, the only point of discontinuity is x=1

If $f (x) = \frac{x}{x - 1}$ , then the points of discontinuity of the function $f^{15} (x),$ where $f^{n} = f o f \dots \dots . o f$ ( $n$ times), are

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More Continuity and Differentiability Questions

If fx=xx-1, then the points of discontinuity of the function f15x, where fn=fof…….of (n times), are

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More Continuity and Differentiability Questions

If $f (x) = \frac{x}{x - 1}$ , then the points of discontinuity of the function $f^{15} (x),$ where $f^{n} = f o f \dots \dots . o f$ ( $n$ times), are