Let ​f(x)=5−x and ​g(x)= 1 x. Perform the function operation and then find the domain of the result. f g​(x)

Answer 1

f.g(x) = f(x) . g(x) = (5 - x) . (1x) = 5x - x²

The domain is all real numbers since the function f.g(x) is continuous.