The table below shows the values for the function y = f(x).

| x | y |
-4 7
-1 -2
0 3
3 -4
6 5

complete the table for the function y = f(1/5x).

(x, y) = (-20, 7), (-5, -2), (0, 3), (15, -4), (30, 5)

Step-by-step explanation:

You want 1/5x to match the x-value in the given table. To make that happen, multiply the given x by 5.

Example: when (1/5x) = -4, f(1/5x) = 7, so x = -4·5 = -20 for y = 7.

The transformation f(1/5x) is a horizontal expansion by a factor of 5, so each point of f(x) is now 5 times farther from the y-axis than it was.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2