Question

If f(x)=x+7 and g(x)= 1/x-13 , what is the domain of (fxg)(x)

Answer 1

The domain is
`x\\e13`

Explanation:

If
`f(x)=x+7` and
`g(x)=(1)/(x-13)`.

Then;

`(f* g)(x)=f(x) * g(x)`

This implies that;

`(f* g)(x)=(x+7)* (1)/(x-13)`

`(f* g)(x)=(x+7)/(x-13)`

The domain of this function refers to all values of
`x` that makes the function defined.

The function is defined, when
`x-13\\e0`

The domain is
`x\\e13`