Answer: 1) gof(x) = -(x+3)
2) fog(x) = -x+3
Step-by-step explanation:
Since we have given that
Define f: R → Rand g: R → R
And f(x) = x+3
g(x) = -x
We need to find the functions as follows:
1) gof is given by
[tex]gof(x)=g(f(x))=g(x+3)=-(x+3)[/tex]
2) fog is given by
[tex]fog(x)=f(g(x))=f(-x)=-x+3[/tex]
Hence, 1) gof(x) = -(x+3)
2) fog(x) = -x+3
