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Let f(x)=x^2 and g(x)" "=" "2x" "+...

Let `f(x)=x^2` and `g(x)" "=" "2x" "+" "1` be two real functions. Find `(f" "+" "g)` `(x)` , `(f" "" "g)" "(x)` , `(fg)" "(x)` , `(f/g)(x)` .

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let f, g : R -> R be defined, respectively by f(x)" "=" "x" "+" "1 ,g(...

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  2. Le f:[0,\ oo)->R\ a n d\ g: R->R be defined by f(x)=sqrt(x) and g(x)=x...

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  3. Let f(x)=x^2 and g(x)" "=" "2x" "+" "1 be two real functions....

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  4. Write the range of the real function f(x)=|x|dot

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  5. If f(x)=cos[pi]^2x+cos[-pi^2]x ,\ w h e r e\ [x] denotes the greatest ...

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  6. Writhe the range of the function f(x)=cos[x],\ w h e r e-\ pi/2<x<pi/2...

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  7. Write the range of the function f(x)=e^(x-[x]),\ x in Rdot

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  8. If f(x)=1-1/x then write the value of f(f(1/x))dot

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  9. Write the domain and range of the function f(x)=(x-2)/(2-x) .

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  10. If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

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  11. If f,\ g,\ h are real functions given by f(x)=x^2,g\ (x)=tanx\ a n d\ ...

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  12. Write the domain and range of function f(x) given by f(x)=1/(sqrt(x-[x...

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  13. Write of the domain and range of f(x)=sqrt(x-[x])dot

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  14. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x).

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  15. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

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  16. Let f a n d g be two functions given by f={(2,4), (5,6), (8,-1), (10 ,...

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  17. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

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  18. Let f\ a n d\ g be two real function given by f={(0,1),\ (2,0),\ (3,-4...

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  19. Let A=[1,2,3],\ B=[2,3,4],\ then which of the following is a function...

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  20. If f: Q->Q is defined as f(x)=x^2,\ t h e n\ f^(-1)(9) is equal to a.3...

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