Question

Tabular representations h (x) as transformations X f(x) X g(x) X h (x) for the functions f, g, and h are given below. Write g(x) and of f (x). -3 - 2 2 2 - - 2 -1 1 1 -2 - 1 1 0 0 - 3 -1 - 3 0 -2 1 1 0 1 1 2 2 2 1 N 2 3​

Answer 1

g(x) = f(x - 1)

h(x) = f(x) + 1

Explanation:

If you look at the values of f(x), g(x) and h(x) you will see that the for a specific value of x in the first table, the f(x) value is the g(x) value for x + 1

For example, at x = -2, we have f(-2) = -2 in the first table

In the second table for x = -3 we have g(-3) = -2 and -3 = -2 -1 So g(-2-1) = f(-2). Looking at the other values in both tables we see that this relation holds good for all x values in the first table

The x values given for f(x) in the first table are the same as those given in the third table for h(x). We see that the h(x) value in the third table is exactly 1 + the f(x) value in the first table and this is true for all values of x in first and third tables