Question

The tables below show the values of f(x) and g(x) for different values of x:

Answer 1

You are given two tables and asked to find the value of x such that f(x) is equal to g(x). One table lists values for f(x); the other lists values for g(x). You are essentially being asked to find the line in one table that matches a line in the other table. When you compare line-by-line, you find that the lines that match are

(x, f(x)) = (2, 18) and (x, g(x)) = (2, 18)

This tells you ...

f(2) = 18 = g(2) . . . . that is, f(x) = g(x) when x=2

Comparing to the offered answer choices, you must conclude the solution is ...

  b. x = 2