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RD SHARMA ENGLISH-FUNCTIONS-All Questions
- 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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- t f be defined by f(x)=x-4 and g be defined by g(x)={(x^2-16)/(x+4)...
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- Express the function f: X->R given by f(x)=x^3+1 as set of ordered pai...
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- If f(x)=x+1/x , prove that [f(x)]^3=f(x^3)+3f(1/x)dot .
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- Let f: RvecRa n dg: CvecC be two functions defined as f(x)=x^2a n dg(x...
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- Let A={12 ,13 ,14 ,15 ,16 ,17}a n df: A→Z be function given by f(x)= h...
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- Find the domain of each of the following functions given by f(x)=1/(sq...
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- Find the domain of definition of the following f(x) given by f(x)=log4...
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- Find the domain of definition of the function f(x) given by f(x)=1/(lo...
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- Find the range of each of the following functions: f(x)=|x-3| f(x)=...
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- Find the sum and product of identity function and the modulus function...
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