Answer:
( f ∘ g ) ( x ) = 10 x − 3
Step-by-step explanation:
Just plug the formula for g ( x ) into the formula for f ( x ) (so replace x in the formula for f ( x ) with what g ( x ) equals), then simplify:
( f ∘ g ) ( x ) = f ( g ( x ) ) = f ( 2 x − 1 ) = 5 ( 2 x − 1 ) + 2 = 10 x − 5 + 2 = 10 x − 3 .
