Let u(x)=e9x and v(x)=5x+9, how do you find (v(u(x)))2?

1 Answer
Jun 7, 2015

Be y=u(x)=e9x

v(u(x))=v(y)=5y+9=5e9x+9

(v(u(x)))2=(v(y))2=(5y+9)2

=(5y+9)(5y+9)=(55yy)+(5y9)+(95y)+(99)

=25y2+90y+81

=25(e9x)2+90e9x+81

=25e29x+90e9x+81

=25e18x+90e9x+81