Answer
$a) \frac{3}{4}$
$b) -3$
$c) \frac{11}{8}$
$d)\frac{13}{9}$
$e)\frac{2a+2h-3}{a+h-4}$
$f)$ Dividing a number by zero is not allowed by the rules of division.
Work Step by Step
$a) f(0)=\frac{2(0)-3}{0-4}=\frac{-3}{-4}=\frac{3}{4}$
$b) f(3)=\frac{2(3)-3}{3-4}=\frac{3}{-1}=-3$
$c) f(-4)=\frac{2(-4)-3}{-4-4}=\frac{-11}{-8}=\frac{11}{8}$
$d) f(-5)=\frac{2(-5)-3}{-5-4}=\frac{-13}{-9}=\frac{13}{9}$
$e)f(a+b)=\frac{2(a+h)-3}{a+h-4}=\frac{2a+2h-3}{a+h-4}$