Home
Class 12
MATHS
If f(x) is a polynomial in x(gt0) satisf...

If `f(x)` is a polynomial in `x(gt0)` satisfying the equation `f(x)+f(1//x)=f(x).f(1//x)` then `f(x)=`

A

`x^(n)`

B

`x^(n)+1`

C

`x^(n)-1`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A(FUNCTIONS)|140 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial fin x( gt0 ) satisfying the equation f(x)+f(1//x)=f(x).f(1//x) and f(2)=9 , then f(3)=

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

If f (x) is a polynomial function satisfying f(x).f((1)/(x))=f(x)+f((1)/(x)) and f(4) =257 then f(3) =

If f(x) is a polynomial satisfying f(x)f(1//x)=f(x)+f(1//x) and f(3)=28 , then f(4) is equal to

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

f(x) = log((1+x)/(1-x)) satisfies the equation: f(x_(1)) +f(x_(2))