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Find the range of tan^(-1)((2x)/(1+x^2))...

Find the range of `tan^(-1)((2x)/(1+x^2))`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f: RrarrR be defined by f(x)=(e^x-e^(-x))//2dot then find its inve...

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  2. Write the interval if f(x)=sinx + cosx for 0ltxltpi/2 is increasing

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  3. Find the range of tan^(-1)((2x)/(1+x^2))

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  4. If f and g are one-one functions, then (a)f+g is one one (b)fg is one ...

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  5. Let A=R-{3}, B=R-{1} and f: A rarr B defined by f(x)=(x-2)/(x-3). Is '...

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  6. Find the domain of f(x)=sqrt(cos^(-1)x-sin^(-1)x)

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  7. If T is the period of the function f(x)=[8x+7]+|tan2pix+cot2pix|-8x (w...

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  8. Let f:[1//2, infty)rarr[3//4, infty) where f(x)=x^2-x+1. Find the inve...

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  9. Find the range of f(x)=sin^(-1)x+tan^(-1)x+cos^(-1)xdot

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  10. Find the inverse of f(x)={(x ,, x<1),(x^2 ,, 1lt=xlt=4), (8sqrt(x) ,,...

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  11. The function f(x)=(x+1)/(x^3+1) can be written as the sum of an even f...

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  12. Find the domain of f(x)=sin^(-1)((x^2)/2)dot

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  13. Find the period of "cos"(cosx)+cos(sinx)dot

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  14. Draw the graph of y=tan(3x).

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  15. An even polynomial function f(x) satisfies a relation f(2x)(1-f(1/(2x)...

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  16. For what integral value of n is 3 pi the period of the function cos(n ...

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  17. If a , b and c are non-zero rational numbers, then the sum of all the ...

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  18. Find the range of f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)

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  19. Identify the following functions whether odd or even or neither: f(x)=...

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  20. Find the range of f(x)=1/(1-3sqrt(1-sin^2x))

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