7. Determine the equation of a function where the following conditions are met:  

 



 

restart;  

`+`(`/`(`*`(3, `*`(`^`(x, 2))), `*`((`+`(x, 2))(`+`(x, `-`(3)))))); f(x); 0;  

 

 

f := proc (x) options operator, arrow, function_assign; `+`(`/`(`*`(3, `*`(`^`(x, 2))), `*`(`+`(x, 2), `*`(`+`(x, `-`(3))))), 10) end proc;  

f := proc (x) options operator, arrow; `+`(`/`(`*`(3, `*`(`^`(x, 2))), `*`(`+`(x, 2), `*`(`+`(x, `-`(3))))), 10) end proc; (5.7.1)
 

f(0);  

10; (5.7.2)
 


 

expand(`*`(`+`(x, 2), `*`(`+`(x, `-`(3)))));  

`+`(`*`(`^`(x, 2)), `-`(x), `-`(6)); (5.7.3)
 

f := proc (x) options operator, arrow, function_assign; `/`(`*`(`+`(`*`(3, `*`(`^`(x, 2))), `-`(60))), `*`(`+`(x, 2), `*`(`+`(x, `-`(3))))) end proc;  

f := proc (x) options operator, arrow; `/`(`*`(`+`(`*`(3, `*`(`^`(x, 2))), `-`(60))), `*`(`+`(x, 2), `*`(`+`(x, `-`(3))))) end proc; (5.7.4)
 

f(0);  

10; (5.7.5)
 

f(x); 3; f(x); infinity; f(x); `+`(`-`(infinity));