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If f@g=g@f, where f(x)=2x+5 and g(x)=3x+...

If `f@g=g@f,` where `f(x)=2x+5 and g(x)=3x+h,` then: `h=`

A

5

B

10

C

15

D

6

Text Solution

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The correct Answer is:
B
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MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
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  2. If the function f(x)=3x+a and g(x) =4x+9 are such that (g@g)(x)=(g@f)(...

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  3. If f@g=g@f, where f(x)=2x+5 and g(x)=3x+h, then: h=

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  4. If f={(1,2),(2,3),(3,5),(5,8)} and g={(2,1),(3,2),(5,3),(8,5)} then f@...

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  5. If f:R->R and g:R->R defined by f(x)=2x+3 and g(x)=x^2+7 then the valu...

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  6. If f(x)=1+2x and g(x) = x/2 , then: (f@g)(x)-(g@f)(x)=

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  7. If f(x)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

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  8. If y=f(x) is one-one onto function, then: (f^-1@f)(x)=

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  9. If y=f(x) is one-one onto function, then: (fof^-1)(y)=

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  10. If f(x)=(2x+3)/(x-2), then: (f@f)(x)=

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  11. If a function f(x)=(ax+b)/(cx+d) is such that (f@f)(x)=x, then

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  12. If f((a x+b)/(x-a))=x, then f^(-1)(x)= (a) x (b) (bx+a)/(x-b) (c) f(...

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  13. If f(x)=(x-3)/(x+1), then: f(x)=(x-3)/(x+1),

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  14. If f(x)=a-(1)/(x+b), where a+b=1, then: (f@f@f)(x)=

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  15. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

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  16. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

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  17. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

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  18. If A={(x, y): y = e^x, x in R} and B={(x,y):y=e^(-2x), x in R}, then

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  19. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

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  20. If f(x)=1-1/x then write the value of f(f(1/x))dot

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