Question

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

[table will be in photo]

What is the solution to f(x)=g(x) ?

Select each correct answer.


x = −2

A) x = −1

B) x = 0

C) x = 1

D) x = 2

Answer 1

For anyone who needs it this is the answer! :)

Answer 2

Answer: x = -1 and x = 0.

Justification:

The solution of f(x) = g(x) are those values of x for which the output of f(x) is equal to the output of g(x).

The table shows that the output for f(0) is 0 and the output of g(0) is also 0.

So, 0 is one solution of the equation.

Also, the table shows that the output for f(-1) is - 1/2, as well as the output of g(-1) is - 1/2. So, -1 is other solution of the equation.

Therefore, this equation has two solutions x = - 1 and x = 0.