Answer:
39
Step-by-step explanation:
g(5) = 3(5) + 5 = 20
f(20) = 2(20) - 1 = 39
Answer:
f ( 2 x + 1 ) = 6 x − 2
Step-by-step explanation:
Set up the composite result function.
f ( g ( x ) )
Evaluate f ( g ( x ) )
by substituting in the value of g into f
. f ( 2 x + 1 ) = 3 ( 2 x + 1 ) − 5
Simplify each term.
Apply the distributive property.
f ( 2 x + 1 ) = 3 ( 2 x )+ 3 ⋅ 1 − 5
Multiply 2 by 3 .
f ( 2 x + 1 ) = 6 x + 3 ⋅ 1 − 5
Multiply 3 by 1 .
f ( 2 x + 1 ) = 6 x + 3 − 5
Subtract 5 from 3 . f ( 2 x +1 ) = 6 x− 2
