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Let `f : R to R` be a function such that `f(x)=x^3+x^2+3x+sinx` . Then

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the domain and range of f(x)=sin^(-1)[x] where [] represents the ...

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  2. Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

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  3. Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

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  4. Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x...

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  5. Which of the following functions is the inverse of itself? (a) f(x)=(1...

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  6. If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...

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  7. Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] repres...

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  8. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...

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  9. Let f(x)=a x+b and g(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...

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  10. Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

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  11. If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s an even fun...

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  12. Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {...

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  13. If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|

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  14. The function f:(-oo,-1)rarr(0, e^5) defined by f(x)=e^(x^3-3x+2) is ...

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  15. Let f:{2,3,4,5}rarr{3,4,5,9} and g:{3,4,5,9}rarr{7, 11 , 15} be functi...

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  16. Find the set of real value(s) of a for which the equation |2x+3|+|2x-...

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  17. Which of the following function/functions is/are periodic ? (a) sgn(...

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  18. If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2, then (A) f(g(x))=x^2,x!=...

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  19. Find the domain of the function f(x)=1/(1+2sinx)

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  20. Find the period (if periodic) of the following function : f(x)=(|sinx+...

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