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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

User Teepark
by
7.7k points

1 Answer

1 vote

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.

User Gabriel Rogath
by
8.0k points

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