Question

The table shows values for functions f(x) and g(x). x 1 3 5 7 9 11 f(x) 7 10 0 5 5 7 g(x) 7 3 5 0 5 11. Which answers are solutions to the equation f(x)=g(x)? A. 1 B. 3 C. 5 D. 9 F. 10

Answer 1

The solutions to the equation f(x) = g(x) are the values of x that make f(x) and g(x) equal. Looking at the table, we can see that f(x) = g(x) for x = 7 and x = 5. Therefore, the solutions to the equation f(x) = g(x) are C. 5 and D. 9. Answer choices A. 1 and F. 10 are not solutions to the equation as f(1) ≠ g(1) and f(10) is not given in the table. Answer choice B. 3 is also not a solution as f(3) ≠ g(3).