Question

Et f(x) = 3x ­- 6 and g(x) = x ­- 2. Find f(g(5)) - ie. (f o g)(5) and its domain

Answer 1

f(g(5)) = f(5-2) = f(3) = 3·3 - 6 = 3

f(g(5)) = 3

_____
Both f(x) and g(x) are polynomials, so their domain is "all real numbers". The same is true for f(g(x)).

The domain of f(g(5)) is 5.