Question

PLEASE HELP PLEASE!!!

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

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

We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

• x = -1

• x - 0

Explanation:

Given the table

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

If we carefully observe, we can determine that

at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = 0

• f(0) = 0

• g(0) = 0

Thus,

at x = 0

f(x) = g(x)

Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = -1

• f(-1) = -1/2

• g(-1) = -1/2

Thus,

at x = -1

f(x) = g(x)

Summary:

Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

• x = -1

• x - 0