Respuesta :
Answer:
( f + g )( x ) = 8x - 3
Step-by-step explanation:
What this is saying is to add the two functions together.
( 5x+1 ) + ( 3x - 4 )
( f + g )( x ) = 8x - 3 is the simplified version.
Answer:
(f∘g)(x)=25x-1
(g∘f)(x)=25x+19
Step-by-step explanation:
To find (f∘g)(x), use the definition of (f∘g)(x),
(f∘g)(x)=f(g(x))
Substituting 5x−1 for g(x) gives
(f∘g)(x)=f(5x−1)
Find f(5x−1), where f(x)=5x+4, and simplify to get
(f∘g)(x)(f∘g)(x)(f∘g)(x)=5(5x−1)+4=25x−5+4=25x−1
To find (g∘f)(x), use the definition of (g∘f)(x),
(g∘f)(x)=g(f(x))
Substituting 5x+4 for f(x) gives
(g∘f)(x)=g(5x+4)
Find g(5x+4), where g(x)=5x−1, and simplify to get
(g∘f)(x)=5(5x+4)−1
(g∘f)(x)=25x+20−1
(g∘f)(x)=25x+19
