Question

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

Answer 1

Answer: OPTION C.

Step-by-step explanation:

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

1. Given the following function f(x):

$f(x)=\frac{x-2}{3}$

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

$f(2)=\frac{(2)-2}{3}$

2. Evaluating, you get:

$f(2)=\frac{0}{3}\\\\f(2)=0$

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.