Find g compositefunction f x for the pair of functions and g

Find (g compositefunction f) (x) for the pair of functions and give the domain f(x) = 17/x, g(x) = 18-x (g compositefunction f) (x) = (Simplify your answer.) What is the domain of (g compositefunction f)(x)? (Simplify your answer. Type your answer in interval notation)

Solution

f(x) = 17/x , g(x) = 18-x

(g o f)(x) = g[f(x)] = 18 - 17/x = (18x -17)/x

Domain: x cannot be 0.

Domain: (-infi ,0) U (0,infi)