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If a function satisfies f(x+1)+f(x-1)=sq...

If a function satisfies `f(x+1)+f(x-1)=sqrt(2)f(x)`, then period of f(x) can be

A

2

B

4

C

6

D

8

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  2. The number of solutions of the equation [y+[y]]=2cosx, where y=(1)/(3)...

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  3. If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then period of f(x)...

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  4. If x and alpha are real, then the inequation log(2)x+log(x)2+2cos al...

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  5. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

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  6. Let f:R rarr R be a function defined by f(x)={abs(cosx)}, where {x} re...

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  7. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

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  8. If f(x)=(x^(2)+2alphax+alpha^(2)-1)^(1//4) has its domain and range su...

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  9. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is -

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  10. The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr t...

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  11. Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f...

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  12. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

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  13. The area bounded by f(x)=sin^(-1)(sinx) and g(x)=pi/2-sqrt(pi^(2)/2-...

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  14. If f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2x+b),(b gt 1) " and " f(x), 1/...

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  15. The period of sin""(pi[x])/12+cos""(pi[x])/4+tan""(pi[x])/3, where [x]...

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  16. If f(2x+3y ,2x-7y)=20 x ,t h e nf(x , y)e q u a l sdot 7x-3y 7x+3y...

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  17. The range of the function f(x)=sqrt(x-1)+2sqrt(3-x) is

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  18. The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cose...

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  19. Let f(x) be a polynominal one-one function such that f(x)f(y)+2=f(x)...

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  20. Let f(x) be a polynominal with real coefficients such that xf(x)=f'(x)...

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