+0  
 
0
4611
1
avatar+253 

Find f + gf − gfg, and f/g and their domains.

f(x) = x − 3,     g(x) = x 2
 Jun 18, 2014
 #2
avatar+118608 
0

F

Find f + gf − gfg, and f/g and their domains.

f(x) = x − 3,     g(x) = x  2
--------------------------------------------
 
$$f+g=x-3+x^2 \\\\
f+g=x^2+x-3 \mbox{ where x can be any real number - that is }x\in R$$
 
-------------------------------------------
 
$$f-g=x-3-x^2 \\\\
f-g=-x^2+x-3 \mbox{ where x can be any real number - that is }x\in R$$
 
-------------------------------------------------
f(x) = x − 3,     g(x) = x  2
 
$$fg=(x-3)x^2 \\\\
fg=x^3-3x^2 \mbox{ where x can be any real number - that is }x\in R$$
 
-----------------------------------------------------
 
$$f/g=(x-3)/x^2 \\\\
\mbox{x cannot be 0 because you can't divide by 0 so }\\\\\mbox{domain: }x\in R \mbox{ where }x\ne 0$$
 
---------------------------------------------------------
To be honest here I do not see why x cannot be an imaginary number but you probably haven't learned about those yet so these are probably the answers that you need.
 
 Jun 19, 2014

1 Online Users