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  • Can someone explain - Sets, Relations and Functions - JEE Main-8

If f(x)= 2x+3 ; g(x) =x^2-5 . Then fog = 

  • Option 1)

    2x^2+3

  • Option 2)

    2x^2+13

  • Option 3)

    2x^2-7

  • Option 4)

    2x^2+1

 

Answers (1)

best_answer

As we have learned

Condition for composite function -

go f is defined only if for each x\in A, f(x) is an element of g.

- wherein

The range of f must be a subset of the domain of g.

 

 f(g(x))= 2(g(x)) +3 = 2x^2-10+3= 2x^2-7

 


Option 1)

2x^2+3

Option 2)

2x^2+13

Option 3)

2x^2-7

Option 4)

2x^2+1

Posted by

Himanshu

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