Answer
Yes, the given function is linear. f(x) = $\frac{3}{2}x - \frac{1}{2}$
Work Step by Step
The given function f(x) = $\frac{1}{2}(3x-1)$ is (through distribution) equivalent to f(x) = $\frac{3}{2}x - \frac{1}{2}$ Since the function can be expressed in terms of y=ax+b it is changing by a constant amount and hence, is linear.
