Question

Which expression represents the composition [g of] (x) for the functions below?

f(x) = 3x – 2g(x) = 1 + 2x
A. 6x – 1
B. 6x + 3
C. 6x + 1
D. 6x – 3

Answer 1

The composition [g of] (x) for the given functions is 6x + 1.

Step-by-step explanation:

The composition [g of] (x) for the functions f(x) = 3x – 2 and g(x) = 1 + 2x can be found by substituting the expression for g(x) into f(x).

First, we substitute g(x) into f(x):

f(g(x)) = 3(1 + 2x) – 2

Next, we simplify the expression:

f(g(x)) = 3 + 6x – 2

Finally, we combine like terms to get the composition function:

f(g(x)) = 6x + 1