The value of the function f(-4) for f(x) = 1/2(3)ˣ + 2 x ≤ 4 is f(-4) = 325/162
How to evaluate the function
From the question, we have the following parameters that can be used in our computation:
f(x) = 1/2(3)ˣ + 2
Also, we have the domain to be
x ≤ 4
Given that
f(-4),
We have
x = -4
The value of x = -4 is in the domain x ≤ 4
So, the function f(-4) can be calculated
Using the above as a guide, we have the following:
f(-4) = 1/2(3)⁻⁴ + 2
Evaluate
f(-4) = 1/162 + 2
Evaluate
f(-4) = 325/162
Hence, the function is f(-4) = 325/162
Question
f(x) = 1/2 * (3) ^ x + 2 when x <= 4
Find the value of f(-4)