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If f(x) and g(x) are two  functions . D_f,D_g, R_f,R_g are domains and range of f(x) , g(x) . Then which of the following is the there if fog exists? 

  • Option 1)

    D_f\subseteq D_g

  • Option 2)

    D_f\subseteq R_g

  • Option 3)

    R_f\subseteq R_g

  • Option 4)

    R_g\subseteq D_f

 

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.

 

 For fog to exsits ,R_g\subseteq D_f Range of inner function is a subset of domain of outter function 

 


Option 1)

D_f\subseteq D_g

Option 2)

D_f\subseteq R_g

Option 3)

R_f\subseteq R_g

Option 4)

R_g\subseteq D_f

Posted by

Himanshu

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