Question

(09.06)

Two functions are shown in the table below.

Function | 1 | 2 | 3 | 4 | 5 | 6

f(x) = -x^2 + 4x + 12
-
g(x) = x+8

Complete the table on your own paper, then select the value that is a solution to f(x) = g(x). (2 points)

Answer 1

x = 4

Explanation:

You want a table and the solution for f(x) = g(x) when f(x) = -x² +4x +12 and g(x) = x +8. Table values have integer x in the range 1–6.

Table

The attachment shows the filled-in table for f(x) and g(x).

The value of x that is a solution to f(x) = g(x) is x = 4.

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Additional comment

The values of f(x) and g(x) for x=4 are both 12.