Question

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

Answer 1

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 ( -∞, ∞)

Answer 2

Answer:

All real numbers

Step-by-step explanation:

Given : $f(x)=2x$

           $g(x)= \frac{1}{x}$

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

$f(x)=2x$

$g(x)= \frac{1}{x}$

$(f\cdot g)(x)=2x \times \frac{1}{x}$

$(f\cdot g)(x)=2$

Since the value of $(f\cdot g)(x)=2$

So, the domain of the function is $(f\cdot g)(x)$ is all real numbers .