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Let f: R->R be defined as f(x)=x^2+1 . F...

Let `f: R->R` be defined as `f(x)=x^2+1` . Find:

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The correct Answer is:
`[-3,3}`
`f(x)=10impliesx^(2)+1=10impliesx^(2)=9impliesx=pm2`.
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RS AGGARWAL-FUNCTIONS-EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS
  1. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

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  2. Let X={-1,0,2,5}andf:XtoR:f(x)=x^(3)+1. Then, write f as a set of orde...

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  3. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

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  4. Let f:RtoR:f(x)=x^(2). Determine (i) range (f) (ii) {x:f(x)=4}

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  5. Let f: R->R be defined as f(x)=x^2+1 . Find:

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  6. Let f:R^+ -> R is a function defined as f(x) = log x. Find (i) Image o...

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  7. Let A={6,10,11,15,21}" and Let "f:AtoN:f(n) is the highest prime facto...

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  8. Find the range of the function f(x)=sinx.

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  9. Find the range of the function f(x)=|x|.

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  10. Write the domain and the range of the function f(x)=sqrt(x+[x]).

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  11. If f(x)=(x-5)/(5-x) then find dom (f) and range (f).

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  12. Let f={(1,6),(2,5),(4,3),(5,2),(8-1),(10,-3)} and g={(2,0),(3,2),(5,6...

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

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  14. If f(x)=(kx)/(x+1), where xne-1andf{f(x)}=x" for "xne-1 then find the ...

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  15. Find the range of the function, f(x)=(x)/(|x|)

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  16. Find the domain of the function, f(x)=log|x|.

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  17. If f is a real function satisfying f(x+1/x)=x^2+1/(x^2) for all x in ...

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  18. Find the domain and range of each of the following real valued func...

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  19. Find the domain and the range of the real function f defined by f(x)=...

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  20. Write the domain and the range of the function, f(x)=-|x|.

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