Let f (x) = 3x - 6 and g (x) = x - 2. Find f (g (5)) (ie. (f∘g) (5)) and its domain: 1; all real numbers 3; all real numbers except x = 3 3; all real numbers except x = 2 3; all real numbers

F (x) = 3x-6

g (x) = x-2

(f o g) (5) = ?

(f o g) (x) = f (g (x)) = f (x-2) = 3 (x-2) - 6=3x-6-6→ (f o g) (x) = 3x-12

Domain of (f o g) (x) = All real numbers

(f o g) (5) = 3 (5) - 12=15-12→ (f o g) (5) = 3

Answers:

f (g (5)) = 3

Domain: A ll real numbers