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f(x+1)=f(x) + f(1) , f(x), g(x) : N to N...

`f(x+1)=f(x) + f(1) , f(x), g(x) : N to N`
`g(x)` = any arbitrary function and `fog(x)` is one-one

A

If fog is one-one, then g is one-one

B

If f is onto, then `f(n)=n AA n in N`

C

f is one-one

D

If g is onto, then fog is one-one

Text Solution

Verified by Experts

The correct Answer is:
D
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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
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  8. A man is observing, from the top of a tower, a boat speeding towards t...

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  9. A tangent is drawn to the parabola y^(2) = 6x which is perpendicular t...

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  10. All possible values of theta in [0, 2pi] for which sin 2theta +tan 2th...

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  11. Let the lines (2-i)z=(2+i) barz and (2+i)z+(i-2)barz-4i=0, (here i^(2)...

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  12. The image of the point (3, 5) in the line x -y + 1 = 0, lies on :

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  13. If the cuves, (x^(2))/(a)+(y^(2))/(b)=1 and (x^(2))/(c )+(y^(2))/(d)=1...

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  14. lim(n to oo) (1+(1+(1)/(2)+………+(1)/(n))/(n^(2)))^(n) is equal to :

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  15. The coefficients a, b and c of the quadratic equation, ax^(2) + bx + c...

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  16. The total number of positive integral solutions (x, y, z) such that xy...

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  17. Integral value of k for which x^2-2(3k-1)x+8k^2-7 gt 0

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  18. If a curve passes through the origin and the slope of the tangent to i...

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  19. The statement A to (B to A) is equivalent to :

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  20. If Rolle's theorem holds for the function f(x)=x^(3)-ax^(2)+bx-4, x in...

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