Question

Find f ◦ g, g ◦ f, and g ◦ g.

f(x) = x + 2, g(x) = x - 5

Answer 1

fg(x)=f(g(x)

=f(x-5)

But ;f(x)=x+2

f(x-5)=(x-5)+2

=x-5+2

fg =x-3

gf(x)=g(f(x))

=g(x+2)

But ;

g(x)=x-5

g(x+2)=(x+2)-5

=x+2-5

=x-3

g(g)=g(x-5)

g(x-5)=(x-5)-5

=x-5-5

=x-1