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

Answer:

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

Step-by-step 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