Let f(x) = x + 8 and g(x) = 3x, how do you find each of the compositions and domain and range?

1 Answer
Oct 22, 2016

The compositons are f(g(x))=3x+8 DomainRR RangeRR
and g(f(x))=3x+24 Domain ∈RR Range∈ RR

Explanation:

f(x)=x+8

g(x)=3x

Replace x by 3x in g(x)
fog(x)= f(g(x))=f(3x)=3x+8
the domain is RR
and the range RR

Replace x by (x+8) in g(x)
gof(x)=g(f(x))=g(x+8)=3(x+8)=3x+24
the domain is RR
and the range RR

You can see that f(g(x))!=g(f(x))