Question

HELP PLEASE!!! 25 POINTS

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= -3
X= -2
X=-1
X=0
X=1
X=2
X=3

Answer 1

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

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

x = -2

x = -1

Explanation:

Given the table

x f(x) = 2⁻ˣ g(x) = -2x

-3 8 6

-2 4 4

-1 2 2

0 1 0

1 1/2 -2

2 1/4 -4

3 1/8 -6

If we carefully observe, we can determine that

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

In other words,

at x = -2

• f(-2) = 4

• g(-2) = 4

Thus,

at x = -2

f(x) = g(x)

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

In other words,

at x = -1

• f(-1) = 2

• g(-1) = 2

Thus,

at x = -1

f(x) = g(x)

Summary:

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

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

x = -2

x = -1