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Mathematics

1 answer:

Kobotan [32]3 years ago

8 0

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

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