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If f is an increasing function and g is ...

If f is an increasing function and g is a decreasing function on an interval I such that fog exists, then :

A

fog is an incresing function on I

B

fog is a decreasing function on I

C

fog is neither increasing nor decreasing on I

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTIONS-Exercise
  1. If f and g are two increasing function such that fog is defined then

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  2. If f is decreasing and g is increasing functions such that gof exists ...

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  3. If f is an increasing function and g is a decreasing function on an in...

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  4. Let y=x^2 e^(-x) then the interval in which y increases with respect t...

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  5. The interval in which the function f(x)=x^(e^(2-x)) increases is

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  6. The function f(x)=cos(pi/x),(x != 0) is increasing in the interval

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  7. The value of b for which the function f(x)=sin x-bx+c is decreasing in...

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  8. For what values of a , the function f(x)={((sqrt(a+4))/(1-a))x^5-3x+"l...

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  9. Find the least value of ' a ' such that the function f(x)=x^2+a x+1 is...

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  10. On which of the following intervals is the function f(x)=x^(100)+sinx-...

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  11. Which of the following functions is not decreasing on (0,pi//2)?

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  12. Let f'(x)=f(x)(x-a)^(2), where g(a) ne 0 and g is continuous at x=a t...

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  13. Show that f(x) = 2x+cot^(-1)x+ log(sqrt(1+x^(2))-x) is increasing in R...

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  14. The function f(x)=log (1+x)-(2+x) is increasing in

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  15. On which of the following intervals in the function f(x)=2x^2-log|x|,x...

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  16. If the function f(x)=(Ksinx+2cosx)/(sinx+cosx) is strictly increasing ...

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  17. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

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  18. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

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  19. Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...

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  20. The function y=x^3-3x^2+6x-17

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