use the following tables for f(x)and
g(x), and just fill in the tables shown below:
Use the following two tables:
x 0 1 2 3 4 5
y=g(x) 9 2 15 1 11 14
And fill in the following table:
x 7 10 11
y=g(x-6) a b c
A=
B=
C=
To fill in the table for y = g(x-6), we need to substitute the values of x-6 into the equation y = g(x) and find the corresponding values of y.
Given the table for y = g(x):
x 0 1 2 3 4 5
y 9 2 15 1 11 14
To find the value of y for each x-6, we need to subtract 6 from each value of x:
For x-6 = 7, we have x = 13:
y = g(13) = ?
For x-6 = 10, we have x = 16:
y = g(16) = ?
For x-6 = 11, we have x = 17:
y = g(17) = ?
To find the values of y, we need to look at the original table for y = g(x) and find the corresponding y-values for each x-value:
For x = 13, the original table shows y = g(13) = 14.
For x = 16, the original table shows y = g(16) = not given.
For x = 17, the original table shows y = g(17) = not given.
Therefore, the filled table for y = g(x-6) is:
x 7 10 11
y=g(x-6) 14 ? ?
Thus, we know that:
A = 14
B and C are not given in the provided tables.