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Let f, g : R -> R be defined, respective...

Let f, g : R `->` R be defined, respectively by `f(x)" "=" "x" "+" "1` ,`g(x)" "=" "2x" + "3` . Find `f" "+" "g," "f" - "g` and `f/g` .

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. f and g are two real valued functioned. f=ln(1-x) and g=[x] .Find (f+g...

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  2. If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n...

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  3. Let f, g : R -> R be defined, respectively by f(x)" "=" "x" "+" "1 ,g(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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