Question

Let f(x)=e* and g(x) = x-3. What are the domain and range of (fºg)(x)? domain: x > 0range: y < 0domain: x > 3range: y> 0O domain: all real numbersrange: y < 0O domain: all real numbersrange: y> 0

Answer 1

EXPLANATION

Given the functions f(x)=e^x and g(x) = x - 3

For f=e^x substitute x with g(x) = x - 3

$=e^{x-3}$

The function is:

$\text{fog(x)}=e^{x-3}$

The domain is all real numbers

The range is y>0