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 32
0 1 1
1 12 12
2 14 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 answer is 1, I can'r explain why but yea, 1 is your answer

Answer 2

We have been given a table having three columns for x, f(x) and g(x)

Values given in table doesn't match with values for given function f(x)=0.5x and g(x)=-0.5x+1

like if you plug x=2 then

f(2)=0.5x=0.5*2=1 while table shows value 1.

So I will give you general idea about how to solve this type of problem.

If only table is given for f(x) and g(x) then we will look for the x-value for which both f(x) and g(x) are same.

Like in given table we see that when x=1, then f(x)=g(x)=12

Hence solution will be x=1.

If only equations are given like f(x)=0.5x and g(x)=-0.5x+1

then we set each, equal to solve the equation and find x

f(x)=g(x)

0.5x =-0.5x+1

0.5x +0.5x =1

1x=1

x=1

Hence final answer is x=1