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Function f satisfies the equation `f(x+a)={(1+f(x))/(1-f(x))} AA x in R` then the period of the function is

A

a

B

2a

C

4a

D

8a

Text Solution

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The correct Answer is:
C
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. If overset(n) underset (k=0) sum f(x+ka)=0 where a gt 0, then the peri...

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  3. Function f satisfies the equation f(x+a)={(1+f(x))/(1-f(x))} AA x in R...

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  4. If f'(x)={(1-2sin^2x)/(f(x))}, f(x) ge 0, AA x in R and f(0)=1, then ...

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  5. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

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  6. Period of f(x)=sin, pi/2 x+2cos, pi/3 x-tan, pi/4 x is equal to

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  7. Polynomial function f(x) satisfying the condition f(x), f(1/x)=f(x)+f...

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  8. The function f(x) is defined for all real x. If f(a+b)=f(ab) AA a and...

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  9. If '' (x)=-f(x) and g(x)=-f'(x) and F(x)=(f(x/2))^2 + (g(x/2))^2 and ...

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  10. If fog=|sinx| and gof=sin^2 sqrtx then f(x) and f(x) are

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  11. If f is a function such that f(0)=2, f(1)=3 and f(x+2)=2f(x)-f(x+1) fo...

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  12. Let f(x)={(-1+sinK1pix, x is rational), (1+cosK2pix, x is irrational...

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  13. Let f(1)=1 and f(n)=2overset(n-1)underset(r=1)sum f( r ). Then overset...

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  14. Given f(x) = In {(1+x)/(1-x)} and g(x)={(3x+x^3)/(1+3x^2)}. Then f(g(x...

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  15. If f: [2,3) rarr [0,1) is defined by f(x)=x-[x], the fractional part o...

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  16. The domain of y=cos^-1((1-2|x|)/3)+log|x-1|x is

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  17. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

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  18. Let n be a positive integer with f(n)=1!+2!+3!+….+n! and P(x) and Q(x)...

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  19. A function f:R rarr R is defined by f(x+y)-kxy=f(x)+2y^2, AA xy in R a...

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  20. If f(x)=1+x^2 and [g(x)]=1+x^2-2x^3+x^4, g(2)=2, then

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