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RD SHARMA ENGLISH-FUNCTIONS-All Questions
- 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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- The range of the function f(x)=sqrt(5|x| - x^2 - 6) is equals to ...
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- If f: R \rightarrow R be given by f(x)=(4^x)/(4^x+2) for all x in Rdo...
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- If f(x)=sin[pi^2]x+sin[-pi^2]x, where [x] denotes the greatest integer...
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- If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...
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- If y=f(x)=(a x-b)/(b x-a) , show that x=f(y)dot
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- If f(x)=(x-1)/(x+1),x!=-1, . then show that f(f(x))=-1/x , prove that ...
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