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If f(x)=cos(logx), then value of f(x) f(...

If `f(x)=cos(logx),` then value of `f(x) f(4)-1/2{f(x/4)+f(4x)}` is (a) `1` (b) `-1` (c) `0` (d) `+- 1`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f(x)=(cos^2x+sin^4x)/(sin^2 x+cos^4x), for x in R, then f(2002) is ...

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  2. The range of the function f(x)=(x^2-x)/(x^2+2x) is R (b) R-[1] (c) R={...

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  3. If f(x)=cos(logx), then value of f(x) f(4)-1/2{f(x/4)+f(4x)} is (a) 1...

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  4. If f(x)=log((1+x)/(1-x))a n dt h e nf((2x)/(1+x^2)) is equal to {f(x)...

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  5. If 2f(x)-3f(1/x)=x^2(x!=0), then f(2) is equal to (a)-7/4("b")""5/...

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  6. If f(x)=(2^x+2^(-x))/2 , then f(x+y)f(x-y) is equals to (a) 1/2{f(2...

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  7. Let f(x)=(alphax)/(x+1),x!=-1. Then write the value of alpha satisfyin...

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  8. Write the range of the function f(x)=sin[x],w h e r e(-pi)/4lt=xlt=pi/...

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  9. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

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  10. If f(x) = cos(log x) then f(x)f(y)-1/2[f(x/y)+f(xy)] has the value

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  11. Relation between graphs of a function and its inverse.

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  12. A be the set of two positive integers and f: A -> Z^+ (set of positiv...

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  13. Range of f(x) =1/(1-2cosx) is uu[1/3,oo) (4) [-1/3,1]

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  14. Let f:[2,oo) rarr R and g:[-2,oo) rarr R be to two real functions def...

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  15. Find the domain of each of the following real valued functions of real...

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  16. Examples :- If x;yin{1;2;3;4};then which of the following are function...

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  17. Find the domain and range of the function f={(x :1/(1-x^2)): x in R ...

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  18. Express the following functions as sets of ordered pairs and determine...

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  19. Given A={-1,0,2,5,6,11},B={-2,-1,0,18 ,28 ,108} and f(x)=x^2-x-2. Is...

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  20. if for nonzero x, af(x) + bf(1/x) =1/x-5, where a!=b then f(2) =

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