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

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 ( -∞, ∞)

All real numbers

Step-by-step explanation:

Given :

To Find : the domain of (f*g) (x)

Since the value of

So, the domain of the function is is all real numbers .

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction