Question

The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 6f(x)?

X | f(x)

-7 | 8
-3 | 3
0 | -1
2 | 7
10|5

Answer 1

-7 | 8 --> 48

-3 | 3 --> 18

0 | -1 --> -6

2 | 7 --> 42

10|5 --> 30

Answer 2

Given: The transformation g(x) =6f(x) ......[1]

To find the corresponding values of g(x) for the given transformation.

At x = -7, f(x) = 8

then,

By substituting the value of f(x) = 8 in [1] we have

`g(x) = 6 \cdot 8 =48`

Similarly,

For x= -3 , f(x) = 3, then

By substituting the value of f(x) = 3 in [1] we have

`g(x) = 6 \cdot 3 =18`

For x= 0, f(x) = -1 , then

By substituting the value of f(x) = -1 in [1] we have

`g(x) = 6 \cdot -1 =-6`

For x= 2, f(x) = 7, then

By substituting the value of f(x) = 7 in [1] we have

`g(x) = 6 \cdot 7=42`

For x= 10, f(x) = 5, then

By substituting the value of f(x) = 5 in [1] we have

`g(x) = 6 \cdot 5=30`

Therefore ; we have the corresponding values of g(x) as shown below;

x f(x) g(x)

-7 8 48

-3 3 18

0 -1 -6

2 7 42

10 5 30