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Examples :- If x;yin{1;2;3;4};then which...

Examples :- If `x;yin{1;2;3;4}`;then which of the following are function in the given set ? (a) f_1={(x;y):y=(x+1)} (b) f_2={(x;y):y4 (d) f_4={(x;y):x+y=5}`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let f:[2,oo) rarr R and g:[-2,oo) rarr R be to two real functions def...

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

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

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

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

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

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  8. 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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  9. 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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  10. Find the domain and range of the function f(x) given by f(x)=(x-2)/(3-...

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  11. Find range of each of the following functions: 1. y=3sinx-2 2. y=2cosx...

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  12. Is g={(1,1),(2,3),(3,5),(4,7)} a function? If this is described by th...

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

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  14. Let f: R \rightarrowR be given by f(x)=x^2+3. Find (i) {x :f(x)=28} (i...

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

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

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

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

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

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  20. 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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