The **table** which represents the **function **g(x) is: answer option A.

<u>x g(x)</u>

1 -3

2 3

3 9

<h3>What is a function?</h3>

In Mathematics, a **function** can be defined as a mathematical expression which can be used to define and show the** relationship **that exist between two or more variables in a **data** set.

This ultimately implies that, a **function** typically shows the **relationship** between input values and output values of a **data** set, as well as showing how the elements in a **table** are paired (mapped).

When x = 1, the **function **f(x) is given by:

f(x) = 2x − 3

f(1) = 2(1) − 3

f(1) = 2 - 3

f(1) = -1.

Therefore, the **function **g(x) = f(3x) = 3 × -1 = -3.

When x = 2, the **function **f(x) is given by:

f(x) = 2x − 3

f(2) = 2(2) − 3

f(2) = 4 - 3

f(2) = 1.

Therefore, the **function **g(x) = f(3x) = 3 × 1 = 3.

When x = 3, the **function **f(x) is given by:

f(x) = 2x − 3

f(3) = 2(3) − 3

f(3) = 6 - 3

f(3) = 3.

Therefore, the **function **g(x) = f(3x) = 3 × 3 = 9.

In conclusion, the **table** which represents the **function **g(x) is as follows:

<u>x g(x)</u>

1 -3

2 3

3 9

Read more on **function** here: brainly.com/question/12789432

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