Question 1104940
<br>
The given function values are these:<br>
{{{matrix(5,6,X,-4,-3,0,1,3,
f(x),-2,-5,"",-9,"",
g(x),1,7,-4,"","",
(f-g),"",-12,"",-13,-5,
(f/g)(x),-2,"",3/2,"",7/2)}}}<br>
All of the missing values can be determined by simple calculations, or by bits of algebra....<br>
(f-g)(-4): {{{(-2)-(1) = -3}}}
(f/g)(-3): {{{(-5)/(7) = -5/7}}}
f(0): {{{g(0)=-4}}}; {{{(f/g)(0) = 3/2}}} --> {{{f(0) = -6}}}
(f-g)(0): {{{(-6)-(-4) = -2}}}
g(1):  {{{f(1) = -9}}}; {{{(f-g)(1) = -13}}} --> {{{g(1) = 4}}}
(f/g)(1): {{{(-9)/(4) = -9/4}}}
f(3) and g(3): this one requires a bit more work...
{{{(f-g)(3) = -5}}}; {{{(f/g)(3) = 7/2}}}
{{{f(3)/g(3) = 7/2}}}
{{{f(3) = (7/2)*g(3)}}} 
{{{f(3)-g(3) = (7/2)*g(3)-g(3) = (5/2)*g(3) = -5}}} --> {{{g(3) = -2}}} --> {{{f(3) = -7}}}