Question

The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answer(s).

(x) -3 -2 -1 0 1 2
f(x) 13 52 18 10.5 2 1/8
g(x) 94 7.5 9 10.5 1 1/8

Answer 1

• (0, 10.5), (2, 1/8)

Explanation:

The solution is the point x which makes f(x) = g(x).

Look at the table to identify same f and g values:

• it is 10.5 and 1/8

The corresponding x- coordinate is:

• x = 0 and x = 2

So the solution is

• x = 0 or x = 2 or points (0, 10.5), (2, 1/8)