Question

If f(x) = 2x and g(x)=1/x, what is the domain of (fg)(x)

Answer 1

The domain is all real numbers except the number zero

Explanation:

we have

`f(x)=2x`

`g(x)=(1)/(x)`

we know that

`(fg)(x)=f(g(x))=2((1)/(x))`

Remember that

The denominator cannot be equal to zero

so

The domain is all real numbers except the number zero

In Interval notation the domain is

(-∞,0) ∪ (0,∞)