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If f(x)=(a x^2+b)^3, then find the funct...

If `f(x)=(a x^2+b)^3,` then find the function `g` such that `f(g(x))=g(f(x))dot`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. The domain of f(x)=1/(sqrt(|cosx|+cosx)) is

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  3. If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x)...

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  4. Find the domain of the function: f(x)=cos^(-1)((6-3x)/4)+cos e c^(-1)(...

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  5. If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

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  6. Solve the equation x^2-x+1=1/2+sqrt(x-3/4), w h e r e xgeq3/4

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  7. Find the domain of the function: f(x)=sqrt(sec^(-1)((2-|x|)/4))

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

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

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

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

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  12. Which of the following functions has inverse function?

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

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

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

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

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

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

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

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