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Find the inverse of `f(x)={(x ,, x<1),(x^2 ,, 1lt=xlt=4), (8sqrt(x) ,, x >4):}`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain of the function: f(x)=sqrt(sec^(-1)((2-|x|)/4))

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  2. Let X={a1, a2,.. ,a6}a n dY={b1, b2,b3}dot The number of functions f f...

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

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  4. Write the equivalent definition and draw the graphs of the following ...

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  5. The range of f(x)=[sinx+[cosx+[tanx+[secx]]]],x in (0,pi/4),w h e r e ...

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  6. Which of the following functions has inverse function?

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  7. Find the range of f(x)=cos^(-1)((sqrt(1+2x^2))/(1+x^2))

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  8. If f(3x+2)+f(3x+29)=0x in R , then the period of f(x) is (a) 7 (b) 8 ...

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  9. A function f has domain [-1,2] and range [0,1] . Find the domain and r...

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  10. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

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  11. Let f: RrarrR be defined by f(x)=(e^x-e^(-x))//2dot then find its inve...

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

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

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

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

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

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

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

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

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