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RD SHARMA ENGLISH-FUNCTIONS-All Questions
- Find the domain of each of the following real valued functions of real...
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- Examples :- If x;yin{1;2;3;4};then which of the following are function...
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- Find the domain and range of the function f={(x :1/(1-x^2)): x in R ...
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- Express the following functions as sets of ordered pairs and determine...
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- 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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- if for nonzero x, af(x) + bf(1/x) =1/x-5, where a!=b then f(2) =
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- 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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- 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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- Find the domain and range of the function f(x) given by f(x)=(x-2)/(3-...
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- Find range of each of the following functions: 1. y=3sinx-2 2. y=2cosx...
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- Is g={(1,1),(2,3),(3,5),(4,7)} a function? If this is described by th...
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- Let f: R\rightarrowR be such that f(x)=2^x . Determine: Range of f (i...
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- Let f: R \rightarrowR be given by f(x)=x^2+3. Find (i) {x :f(x)=28} (i...
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- Find the domain and range of the function f(x)=1/(2-sin3x) .
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- If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...
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- If f is a real valued function given by f(x)=27 x^3+1/(x^3)a n dalpha,...
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- If 3f(x)+5f(1/x)=1/x-3 for all non-zero x , then f(x)= (a)1/(16)(...
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- The function f: R ⇒ R is defined by f(x)=cos^2x+sin^4x , r a n g e ...
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- 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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- The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is (a)(-oo,-...
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