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Fid the domain for which the functions f...

Fid the domain for which the functions `f(x)=2x^2-1a n dg(x)=1-3x` are equal.

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The correct Answer is:
`{-2,(1)/(2)}`
`2x^(2)-1=1-3ximplies2x^(2)+3x-2=0implies(x+2)(2x-1)=0`.
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RS AGGARWAL-FUNCTIONS-EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS
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  2. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

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  3. 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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  4. 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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  5. Let f:RtoR:f(x)=x^(2). Determine (i) range (f) (ii) {x:f(x)=4}

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

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

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

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

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

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

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

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

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

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

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

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