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If f(x)=4x-x^2 then find f(a+1)-f(a-1)...

If `f(x)=4x-x^2` then find f(a+1)-f(a-1)

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To solve the problem, we need to calculate \( f(a+1) - f(a-1) \) given the function \( f(x) = 4x - x^2 \). ### Step 1: Calculate \( f(a+1) \) We start by substituting \( a+1 \) into the function: \[ f(a+1) = 4(a+1) - (a+1)^2 ...
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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Write the range of the function f(x)=x^2+1 ,x in R

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  2. Write the domain and range of the function f(x)=[x]

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  3. If f(x)=4x-x^2 then find f(a+1)-f(a-1)

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  4. If A and B are finite sets with n(A) =3 and N(B)=6 then find n(AxxB)

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  5. Is the function f:R rarr R be defined by f(x)=2x+3 a one on one functi...

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  6. Find the range of the function f(x)=abs(x-a)/(x-a) , x is not equal to...

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  7. Find the domain of the function f(x)=x/(x^2+5x+6)

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  8. Find the range of the function f(x)=-x^2-100

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  9. Is the function f(x)=absx one on one?

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  10. Show that the function f:RrarrR defined by f(x)=x^(2) is neither one-o...

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  11. If R denotes the set of all real numbers, then the function f : R to R...

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  12. A horizontal line meets the graph of the function y=f(x) in two points...

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  13. If t(C)=(9C)/5+32 write the value of t(28)

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  14. Find the range of the function f(x)=[x],1lexlt3

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  15. Find the total number of function from a set A to B where n(A)=3 and n...

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  16. Find the period of the function f(x)=sin5x

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  17. If (x+y,x-y)=(1,2) find x and y

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  18. Find the domain and range of the following relation R={(1,3),(1,5),(1,...

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  19. Find the domain and range of the following relation R={(x,y):x in N ,x...

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  20. Find the domain and range of the following relation R={(x+2,x+4):x in ...

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