Question

Let g (x) = 3x+2 and f (x) = x-2 / 3 find the value. g (f(2))

A. 1
B. 0
C. 2
D. 1/3

Answer 1

Answer: OPTION C.

Explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

`f(x)=(x-2)/(3)`

You must substitute
`x=2` into the function f(x). Then:

`f(2)=((2)-2)/(3)`

2. Evaluating, you get:

`f(2)=(0)/(3)\\\\f(2)=0`

3. Now, the next step is to substitute
`f(2)` into the function g(x):

`g (x) = 3x+2\\\\g (f(2)) = 3(0)+2`

4. Finally, evaluating, you get the following result:

`g (f(2)) = 0+2\\\\g (f(2)) =2`

You can identify that it matches with the Option C.