Question

Which description best describes the domain of (g•f) (x)

Answer 1

Domain of  (g•f) (x):

Step-by-step explanation:

• If we have functions f(x) and g(x) .

• Function f( x) is defined for the A to B where A is domain and B is codomain of function f(x).

• Function g( x) is defined for the B to C where B is domain and C is codomain of function g(x).

• Now composition of function f(x) and function g(x) will be denied by (fog)(x) or (gof)(x) function .

• Here (gof)(x) function is defined by the g(f(x)).

           (gof)(x)=g(f(x)) with set from c to A

• Thus, domain of (gof)(x) will be C.

Answer 2

Answer:

The elements in the domain of f(x) for which g(f(x)) is defined.

Step-by-step explanation:

To Find:- Description that describes the domain of gof(x).

Solution:-

gof(x) is pronounced as g of f of x i.e. g(f(x)).

The elements in the domain of f(x) for which g(f(x)) is defined.

If we have functions f(x) and g(x) . Function f( x) is defined in the range A to B where A is domain and B is codomain of function f(x). Function g( x) is defined in the range B to C where B is domain and C is codomain of function g(x).

Now composition of function f(x) and function g(x) will be denied by (fog)(x) or (gof)(x) function .

Here (gof)(x) function is defined by the g(f(x)).

          (gof)(x)=g(f(x)) with set from C to A.

Thus, domain of (gof)(x) will be C.

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