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If g(x)=x^3+x-2 and g(f(x))=x^3+3x^2+4x ...

If `g(x)=x^3+x-2` and `g(f(x))=x^3+3x^2+4x` then f(1)+f(2) is equal to ________

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To solve the problem, we start with the given functions: 1. \( g(x) = x^3 + x - 2 \) 2. \( g(f(x)) = x^3 + 3x^2 + 4x \) We need to find \( f(1) + f(2) \). ### Step 1: Set up the equation ...
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VMC MODULES ENGLISH-JEE MAIN REVISION TEST - 29 (2020)-MATHEMATICS
  1. Matrix A such that A^(2)=2A-I, where I is the identity matrix, then fo...

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  2. If Real ((2z-1)/(z+1))=1, then locus of z is , where z=x+iy and i=sqrt...

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  3. Let A(3, 2) and B(6, 5) be two points and a point C (x,y) is chosen on...

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  4. The equation of the circle, which touches the parabola y^2=4x at (1,2)...

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  5. There are exactly two points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ...

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  6. int(a^4)^(b^4)(f(sqrtx))/((sqrtx)[f(a^2+b^2-sqrtx)+f(sqrtx)])dx is equ...

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  7. The area bounded by the curves x + y = 2 and y = x^2 above x-axis in ...

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  8. Solution of (sin x)(dy)/(dx) = y ln y , given y ((pi)/2) = e

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  9. If y^x=x^y then (dy)/(dx) at x=1, y=1 is

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  10. f(x)=(x^2-1)|x^2-3x+2|+cos|x| is not differentiable at x=a, then sum(r...

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  11. If veca = hati + hatj + hatk & vecb = hati - hatj + hatk are the side...

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  12. lim(x->e) (lnx-1)/(x-e)

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  13. if the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4c...

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  14. Variance of 1st 10 natural nos. is m & mean of first 10 odd natural nu...

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  15. Find the expected value of the experiment “tossing 3 coins simultaneou...

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  16. The greatest +ve integer k, for which 4^k+1 is factor of sum 1+2+2^2+....

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  17. If tan prop &tan beta are the roots of the equation bx^2+ax-1=0,bcance...

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  18. If 1,omega,omega^2 are the cube roots of unity, then /\ is equal...

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  19. If four numbers. in decreasing A.P, a, b, c, d have their sum as 20 & ...

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  20. If g(x)=x^3+x-2 and g(f(x))=x^3+3x^2+4x then f(1)+f(2) is equal to

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