The true statement about the functions is (c) the lines are neither parallel nor perpendicular
How to determine the true statement about the functions
From the question, we have the following parameters that can be used in our computation:
f(x) = 1/4x + 2
g(x) = 4x - 2
A linear function is represented as
y = mx + c
Where
Slope = m
This means that the slopes of the functions are
Slope of f = 1/4
Slope of g = 4
The slopes are not equal
This means that they are not parallel
The slopes are not opposite reciprocals
This means that they are not perpendicular
Hence, the true statement about the functions is (c)
Question
Let f(x) = 1/4 x + 2 and g(x) = 4x - 2. Which of the following statements is true
a. The lines are parallel
b. The lines are perpendicular
c. The lines are neither parallel nor perpendicular