Consider the Linear Function $f(x)=\frac{1}{4}(5 x-8)-(x-3)$
(A) Solve the Equation $f(x)=0$

Essay

Consider the linear function $f(x)=\frac{1}{4}(5 x-8)-(x-3)$ .
(a) Solve the equation $f(x)=0$ analytically.
(b) Solve the inequality $f(x) \leq 0$ analytically.
(c) Graph $y=f(x)$ in an appropriate viewing window and explain how the graph supports your answers in parts (a) and (b).