Question

The table shows values for functions f(x) and g(x) .

x f(x) g(x)
1 3 3
3 9 4
5 3 5
7 4 4
9 12 9
11 6 6


What are the known solutions to f(x)=g(x) ?

Select each correct answer.

Answer 1

The known solutions to f(x) = g(x) based on the data provided are when x = 1 and x = 9, as f(x) and g(x) have the same values at these points.

Step-by-step explanation:

To solve for when f(x) = g(x), we need to compare the values of f(x) and g(x) for each given value of x. We are looking for the x-values where the functions f(x) and g(x) intersect or have the same value.

• At x = 1, f(x) and g(x) both equal 3.
• At x = 9, f(x) and g(x) both equal 9.

These are the known solutions to f(x) = g(x) based on the data provided in the table. There are no other x-values in the table where f(x) equals g(x).

Answer 2

x = 1, x = 7, x = 11.

You can get this by looking at what values of x have the same f(x) value as the g(x)