Question

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

x after 2 is an exponent. x after 1/2 is an exponent.
v v
x | f(x)=2x−1 | g(x)=1/2x
_________________________________
−2 | −3/4 | −1
−1 | −1/2 | −1/2
0 | 0 | 0
1 | 1 | 1/2
2 | 3 | 1


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

Select each correct answer.
(More then one answer allowed.)



A-) −2

B-) −1

C-) 0

D-) 1

E-) 2

Answer 1

Here, when x = -2, f(x) = 2x - 1 = 2(-2)-1 = -4-1 = -5 [ Not Equal ]

when x = -1, 2x-1 = 2(-1)-1 = -2-1 = -3 [ Not Equal ]

when x = 0, f(x) = 2(0) - 1 = 0 - 1 = -1 [ Not Equal ]

when x = 1, f(x) = 2(1) - 1 = 2-1 = 1, g(x) =1/2 (1) = 1/2 [ Equal ]

when x = 2, f(x) = 2(2) - 1 = 4-1 = 3, g(x) = 1/2(2) = 1 [Equal ]

In short, Your Answers would be Option D & E

Hope this helps!