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Write fog if f:R rarr R and g: R rarr R ...

Write fog if f:R `rarr `R and g: `R rarr R` is given by f(x) = | x| and g(x) = |5x - 2|.

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Find gof and fog, if f: R rarr R and g: R rarr R are given by f(x) = cos x and g(x) = 3x^(2) , then show that gof ne fog.

Find gof and fog, if f :R rarr R and g:R rarr R are given by (i) f(x) = sinx and g(x) = 4x^(2) . (ii) f(x) = x^(2) and g(x) = 2x +1.

Write fog, if f :R to R and g:R to R are given by f(x)= 8x^(3) and g(x) = x^(1//3) .

If f: RrarrR and g:RrarrR is given by f(x)=abs(x) and g(x)=abs(5x-2) then write fog(x).

If f:RrarrR and g:RrarrR are given by f(x)=8x^3 and g(x)=x^(1/3) , then write fog.

If f:RrarrR and g:RrarrR is defined by f(x)=sinx and g(x)=5x^2 , then (gof)(x).

If f:R to R and g:R to R are given by f(x)=sin x and g(x) =x^(5) , then find gof(x).

If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) x .

Let f , R to R and g , R to R defined as f(x) = | x | , g(x) = | 5x - 2| then find fog .

Find the composition fog and gof and test whether fog = gof when f and g are functions or R given by f(x)=x^3 +1, g(x) =x^2 -2

MODERN PUBLICATION-TEST PAPER 3-PROBLEM
  1. Shows that the triangle of greatest area that can be inscribed in a ci...

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  2. Find the area of the région on closed between y = 4x-1 and y^2=2x

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  3. Write fog if f:R rarr R and g: R rarr R is given by f(x) = | x| and g(...

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  4. Evaluate : tan^(-1)((-1)/sqrt3)+cot^(-1)(1/sqrt3)+tan^(-1)(sin(-π/2)).

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  5. If | adj A | = 64 then find | A |

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  6. Evaluate the following : [[sin^2theta,cos^2theta,1],[cos^2theta,sin^2t...

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  7. A differentiable function f defined for all x > 0 and satisfies f(x^2)...

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  8. Write the minimum value of y2 where y=sin^2x cos^2x

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  9. Evaluate int-1^1e^|x| dx

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  10. Write the vector equation ofthe plane whose cartesian equation is x + ...

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  11. Let A (1,2,3). Then, find the number of equivalence relations containi...

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  12. Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) ...

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  13. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  14. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

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  15. Find the values of a and b, if the function f defined as f(x) {(x^2+3x...

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  16. Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...

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  17. Find the dy/dx when cos x = sqrt ((1)/(1+t^2)), sin y = (2t)/(1+t^2)

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  18. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

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  19. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

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  20. Evaluate : int (xe^x)/(x+1)^(2) dx

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