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If f and g are two decreasing function s...

If f and g are two decreasing function such that fog is defined, then fog will be-

A

fog is always an increasing funciton

B

fog is always an increasing function

C

fog is neither an increasing n or decreasing function

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Product of two increasing function is always an incresing function
`therefore` fog is always an increasing function
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NDA PREVIOUS YEARS-APPLICATION OF DERIVATIVES -Example
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  2. Wht is the interval over which the function f(x)=6x-x^(2),x gt 0 is in...

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  3. If f and g are two decreasing function such that fog is defined, then ...

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  4. For a point of inflection of y= f(X) which one of the following is cor...

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  5. What is the value of p for which the funtion f(X)=p sinx+(sin 3x)/(3...

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  6. If at any instant t for a sphere r denotes the radius s denotes the su...

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  7. The function f(X)=k sinx +1/3 sinx 3x has maximum value at x=(pi)/(3) ...

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  8. Consider the following statement in respect of the function f(x)=x^(...

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  9. The largest value of 2x^(3)-3x^(2)-12x+5 for -2 le x le 2 occurs when

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  10. The function y=f(x)=mx+c has

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  11. At an extreme point of a function f(X) the tangent to the curve is

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  12. The point in the interval [0,2pi] where f(x) =e^(x) sinx has maximum s...

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  13. If the rate of change in volume of spherical soap bubble is uniform th...

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  14. If f(X)=x ln x then f(x) attains minumum value at which one of the fol...

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  15. Find the points on the curve x^2+y^2-2x-3=0at which the tangents are ...

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  16. Which of the following statement is correct ?

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  17. How many tangents are parallel to X-axis for the curve y = x^2 - 4x + ...

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  18. What is the rate of change of sqrt(x^(2)+16) with respect to x^(2) at ...

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  20. Which one of the following statement is correct ?

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