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If f={(1,a), (2, b), (1, b), (3,c), (1,c...

If `f={(1,a), (2, b), (1, b), (3,c), (1,c)}, g=(a, p), (b,r), (c,q), (c,p)}`, then `(gof)^(-1)=`

A

`{(p,1), (q, 1), (r, 2), (r, 1), (q, 3), (p, 3)}`

B

`{(1, p), (1, q), (2, r), (1, r), (3, q), (3, p)}`

C

`{(p, 1), (1, q), (r, 2), (1, r), (q, 3), (3, p)}`

D

`{(1, p), (q, 1), (2, r), (r, 1), (3, q), (p, 3)}`

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If f={(-2, 4), (0, 6), (2, 8)} and g={(-2, -1), (0, 3), (2, 5)}, then ...

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  2. If f:{(1, 2), (2,3), (3, 1)}, then fof=

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  3. If f={(1,a), (2, b), (1, b), (3,c), (1,c)}, g=(a, p), (b,r), (c,q), (c...

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  4. If f(x)=2x-1, g(x)=x^(2), then (3f-2g)(x)=

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  5. If f(x)=x^(2), g(x)=x^(2)-5x+6 then (g(2)+g(2)+g(0))/(f(0)+f(1)+f(-2))...

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  6. f(x)=1, if x rational, =0, if x is irrational. Then (f(1//2)+f(sqrt5...

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  7. Two functions f:Rrarr R, g:R rarr R are defined as follows : f(x)={{...

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  8. If f:Rrarr R is defined by f(x)=3x-2, then (f(o)f) (x)+2=

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  9. If f(x)=sqrt(x^(3)-1) and g(x)=root(3)(x^(2)+1), then (fog)(x)=

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  10. f:R rarr R, defined by f(x)=sinx and g:R rarrR, defined by g(x)=x^(2),...

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  11. If f:R rarr R, g:R rarr R are defined by f(x)=x^(2)+2x-3, g(x)=3x-4, t...

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  12. If f:R rarr R, g:R rarr R are defined by f(x)=4x-1, g(x)=x^(3)+2, then...

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  13. If f:R rarrR, g:R rarrR are defined by f(x)=3x-2, g(x)=x^(2)+1, then (...

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  14. Let g(x)=1+x-[x] and f(x)=-1 if x lt 0 =0 if x=0 then f[g(x)]= =1 ...

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  15. If f(x)={{:(x^(3)+1",",x lt0),(x^(2)+1",", x ge0):}, g(x)={{:((x-1)^(1...

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  16. If f(x)=x^(3)-x, g(x)=sin 2x, then

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  17. If f(x)=logx, g(x)=x^(3) then f[g(a)]+f[g(b)]=

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  18. If f:R rarrR and g:R rarrR are defined by f(x)=2x+3, g(x)=x^(2)+7 then...

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  19. If f:RR rarrRR and g:RR rarrRR are defined by f(x)=2x+3 and g(x)=x^(2)...

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  20. Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0...

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