The table which represents the function g(x) is: answer option A.
x g(x)
1 -3
2 3
3 9
What is a function?
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:
x g(x)
1 -3
2 3
3 9
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