Question

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

x   f(x)=0.5x g(x)=−0.5x+1
−2       4          2
−1       2          3/2
0        1            1
1         1/2          1/2
2        1/4           0

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

Select each correct answer.

x=−2

x=−1

x = 0

x = 1

x = 2

Answer 1

The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
However, there is another solution route. We have a table with the values.
The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
f (0) = g (0) = 1
f (1) = g (1) = 1/2
answer
x = 0
x = 1
Note:
F (0) in the table is incorrect if the function is
f (x) = 0.5x
F (0) in the table is correct if the function is
f (x) = 0.5 ^ x