If #f( x ) = 9x - 4# and #g( x ) = 6x - 9#, what is #fg#?

1 Answer
Jim G.
Jun 1, 2018

#"it depends on what you mean"#

Explanation:

#"if you mean "f*g " then"#

#(9x-4)(6x-9)larrcolor(blue)"expand using FOIL"#

#=54x^2-81x-24x+36#

#=54x^2-105x+36#

#"if you mean "(f@g)(x)#

#"then substitute "g(x)" into "f(x)#

#f(color(red)(6x-9))#

#=9(color(red)(6x-9))-4#

#=54x-81-4=54x-85#

Related questions
Impact of this question
1252 views around the world
You can reuse this answer
Creative Commons License