Question

What is the solution to

f(x) = g(x) ?

Select EACH correct answer.

A. x= -2
B. x= -1
C. x= 0
D. x= 1
E. x= 2

Answer 1

The solution to the equation f(x) = g(x) is all real numbers.

Step-by-step explanation:

The solution to the equation f(x) = g(x) can be found by finding the values of x that make f(x) equal to g(x). In this case, we are given the equation f(x) = g(x) = x² + 3x - 2. To find the values of x that satisfy the equation, we can set f(x) = g(x) and solve for x.

1. Substitute f(x) = g(x) into the given equation.
   x² + 3x - 2 = x² + 3x - 2
2. Combine like terms.
   0 = 0
3. This equation is always true, which means that any value of x satisfies the equation.
   So, the solution to f(x) = g(x) is all real numbers.

Answer 2

For this case, what you must do is to observe in the table the values that take both functions at the moment of being evaluated with different values of x.
We have then that:
for x = 0
f (0) = 1
g (0) = 1
For x = 1
f (1) = 3
g (1) = 3
Therefore, in both cases:
f (x) = g (x)
Thus, the solution values are:
C. x = 0
D. x = 1
answer:
C. x = 0
D. x = 1