Question

Evaluate the function. (Round your answer to four decimal places.) f(x) = -6e ⁻ˣ⁻¹, for f(-4)

f(-4) = -0.04

Answer 1

Actually the correct evaluation for the function f(x) = -6e ^(-1/x) at x = -4 is -7.7042, not -0.04.

Let's break it down:

1. Firstly, we substitute the value of x (-4) into the equation wherever x is present. This gives us:
f(-4) = -6e ^(-1/-4)

2. -1/-4 simplifies to 0.25, which modifies our expression to:
f(-4) = -6e ^(0.25)

3. The expression now reads as "-6 times e to the power of 0.25". Performing this multiplication using appropriate exponentiation of "e", we get:

f(-4) = -7.7042

Thus, our final result is f(-4) = -7.7042, rounded to four decimal places.