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Let f(x) = [x] and g(x) = |x| then find...

Let f(x) = [x] and g(x) = |x| then find the value of
`(gof) (5/3) - (fog) (5/3)`

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If f:R -> R, g:R -> R defined as f(x) = sin x and g(x) = x^2 , then find the value of (gof)(x) and (fog)(x) and also prove that gof != fog .

If f(x) = x^2 and g (x) = 2x + 3 , then the value of gof (-1) is

If f (x)= x^2 and g (x) =2x + 3 , then the value of gof(-1) is:

If f(x) = sin x and g(x) = 2x, find fog.

If f : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) (sqrt(pi))/(2) "and (gof)"((pi)/(3)) .

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BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Give an example of a relation which is symmetric and transitive but no...

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  2. Let f(x) = [x] and g(x) = |x| then find the value of (fog)(1/2) - ...

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  3. Let f(x) = [x] and g(x) = |x| then find the value of (gof) (5/3) -...

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  4. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

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  5. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

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  6. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

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  7. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

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  8. Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2,...

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  9. Give an example of a relation which is reflexive and transitive but no...

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  10. Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2...

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  11. If R is the relation ‘less than' for: A= {2, 4, 6, 8, 10} to B= {8,...

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  12. If R is the relation '' greater than'' for : A = {1, 4, 5,} to B={1...

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  13. Show that the function f:N rarr N given by f(x) = 4x is one-one, but ...

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  14. Show that the function f:N rarr N given by f(x) = 5x is one-one but n...

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  15. Find fog and gof , if f(x) = x^2 , g (x) = x +1

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  16. If f :Rrarr R defined by f(x)= (5x+6)/7 is an invertible function, ...

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  17. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

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  18. Prove that the relation R in Z of integers given by: R = {(x, y): 3x -...

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  19. Show that the relation R defined by R = {(a, b) (a - b), is divisible ...

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  20. Check the injectivity and surjectivity of the following function: f ...

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