Answer:
The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)
Step-by-step explanation:
(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;
f(x)=2x
g(x)= 1/x
(f*g) (x) = f(x) * g(x)
(f*g) (x) = 2x * 1/x = 2
This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)
Given:
The given value is
.
To find:
The multiplicative inverse of
.
Solution:
We know that
is the multiplicative interval of
if
.
Let
be the multiplicative inverse of the given value
. Then,

Divide both sides by
.


Therefore, the multiplicative inverse of
is
. Hence the correct option is A.
Its $13.79..... hopefully it helps