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Express the following functions as sets of ordered pairs and determine their ranges `f: A\rightarrowR ,f(x)=x^2+1 " where " A={-1,0,2,4}dot` `g: A\rightarrowN ,g(x)=2x " where " A={x : x in N ,xlt=10}dot`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
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  2. Find the domain and range of the function f={(x :1/(1-x^2)): x in R ...

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

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

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  6. If f(x) = (a-x^n)^(1/n), a > 0 and n in N, then prove that f(f(x)) = x...

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  7. If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=-1/(f(...

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  8. Find the domain and range of the function f(x) given by f(x)=(x-2)/(3-...

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  11. Let f: R\rightarrowR be such that f(x)=2^x . Determine: Range of f (i...

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  13. Find the domain and range of the function f(x)=1/(2-sin3x) .

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  14. If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...

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  15. If f is a real valued function given by f(x)=27 x^3+1/(x^3)a n dalpha,...

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  16. If 3f(x)+5f(1/x)=1/x-3 for all non-zero x , then f(x)= (a)1/(16)(...

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  17. The function f: R ⇒ R is defined by f(x)=cos^2x+sin^4x , r a n g e ...

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  18. If e^(f(x))=(10+x)/(10-x),x in (-10 ,10)a n df(x)=kf((200 x)/(100+x^2)...

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  19. The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is (a)(-oo,-...

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  20. The range of the function f(x)=sqrt(5|x| - x^2 - 6) is equals to ...

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