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Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
"2x-4=3^-x + 1

A. x ≈ 2.5
B. x ≈ 3.25
C. x ≈ 1
D. x ≈ 2

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Answer:

here's an example related

Step-by-step explanation:

Let's call f(x) = 2x - 4 and g(x) = 3⁻ˣ + 1.

First, you need to evaluate each function at the given values of x.

f(1) = 2(1) - 4 = -2

f(3.25) = 2(3.25) - 4 = 2.50

f(2.5) = 2(2.5) - 4 = 1

f(2) = 2(2) - 4 = 0

Similarly:

g(1) = 3⁻¹ + 1 = 1.33

g(3.25) = 3⁻³'²⁵ + 1 = 1.03

g(2.5) = 3⁻²'⁵ + 1 = 1.06

g(2) = 3⁻² + 1 = 1.11

Now, look for the value of x for which f(x) ≈ g(x): this happens for x = 2.5

Therefore the correct answer is c) x ≈ 2.5

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