Jika fungsi f dan g dirumuskan dengan:

Jawaban:

a.

(fog)(x)=f(g(x))

=f(3x²) –> f(x)=2x+1

=2(3x²)+1

=6x²+1

b.

(fog)(2)=6x²+1

=6(2)²+1

=6(4)+1

=24+1

=25

c.

(gof)(x)=g(f(x))

=g(2x+1) –> g(x)=3x²

=3(2x+1)²

=3(4x²+4x+1)

=12x²+12x+3