Question

PLEASE HELP ASAP!!!
Given f(x) = 2x − 3 and g(x) = f(2x), which table represents g(x)?

x g(x)
1 2
2 4
3 6

x g(x)
1 1
2 5
3 9

x g(x)
1 −1
2 1
3 3

x g(x)
1 −2
2 2
3 6

Answer 1

The table that represents g(x) is

x         g(x)

1           1

2          5

3          9

The correct option is the second option

Evaluating functions

From the given information, we have that

f(x) = 2x - 3 and

g(x) = f(2x)

Then,

g(x) = f(2x) becomes

g(x) = f(2x) = 2(2x) -3

g(x) = 4x - 3

Now, we will put the values of x from 1 to 3 into the equation

When x = 1

g(x) = 4x - 3 becomes

g(x) = 4(1) - 3

g(x) = 4 - 3

g(x) = 1

When x = 2

g(x) = 4x - 3 becomes

g(x) = 4(2) - 3

g(x) = 8 - 3

g(x) = 5

When x = 3

g(x) = 4x - 3 becomes

g(x) = 4(3) - 3

g(x) = 12 - 3

g(x) = 9

Hence, the table that represents g(x) is

x         g(x)

1           1

2          5

3          9

The correct option is the second option

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