The Student Room Group
Uni students - Complete our survey >>
Uni students - Complete our survey >>
Uni students - Complete our survey >>

Functions machine help!

Function 1 is given by y = x - 1 and function 2 is given by y = 3x^2.
Show that the equation for the composite function formed by function 1 followed by function 2 is the same as y = 3x^2 - 6x + 3.
(edited 4 years ago)
Reply 1
Avatar for SoCraZy
SoCraZy
7
Original post by Soul Wavel3ngth
Function 1 is given by y = x - 1 and function 2 is given by y = 3x^2.
Show that the equation for the composite function formed by function 1 followed by function 2 is the same as y = 3x^2 - 6x + 3.


say f(x) = x-1 and g(x)=3x^2
essentially the question is asking how would g(f(x)) look like so:
3(x-1)^2
= 3(x^2-2x+1)
=3x^2 - 6x + 3
therefore y = 3x^2 - 6x + 3.
So function machines aren't needed? Because it says "Function 1 followed by function 2". But your method seems reasonable so I guess i'll try that.
Original post by SoCraZy
say f(x) = x-1 and g(x)=3x^2
essentially the question is asking how would g(f(x)) look like so:
3(x-1)^2
= 3(x^2-2x+1)
=3x^2 - 6x + 3
therefore y = 3x^2 - 6x + 3.
Reply 3
Avatar for SoCraZy
SoCraZy
7
Original post by Soul Wavel3ngth
So function machines aren't needed? Because it says "Function 1 followed by function 2". But your method seems reasonable so I guess i'll try that.


you could use function machines I suppose though I see no reason to do so

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you