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Let f (x) { {:(1+x"," , 0 le x le 2),( ...

Let `f (x) { {:(1+x"," , 0 le x le 2),( 3-x"," ,2 lt x le 3):}:`
Find fof.

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The correct Answer is:
`(fof)(x)={{:(2+x",", 0 lex le 1),(2-x",", 1 lt x le 2),(4-x",", 2 lt x le 3):}`
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  8. Let f:(0,1)->R be defined by f(x)=(b-x)/(1-bx), where b is constant s...

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  10. If X and Y are two non-empty sets where f: X->Y,is function is define...

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  11. If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, w...

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  12. If f(x)=sinx+cosx, g(x)=x^(2)-1, then g(f(x)) is invertible in the do...

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  13. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

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  14. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (...

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  15. If f:[0,infty) rarr [0,infty) " and " f(x)=x/(1+x), then f is

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  16. If f:R to R be defined by f(x) =2x+sinx for x in R, then check the na...

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  18. Suppose f(x)=(x+1)^(2) " for " x ge -1. If g(x) is the function whos...

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  19. If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equal...

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  20. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x)dot A...

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  21. Find the domain of the following functions. f(x)=(log(2)(x+3))/((x^(...

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